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1

Infinitely many positive solutions of fractional nonlinear Schrödinger equations with non-symmetric potentials

Discrete and Continuous Dynamical Systems  Volume 37, Issue 11, Pages : 5561 - 5601, 2017

Weiwei Ao - (email), Juncheng Wei - (email), Wen Yang - (email)

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2

A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions

Discrete and Continuous Dynamical Systems  Volume 37, Issue 11, Pages : 5731 - 5746, 2017

Begoña Barrios - (email), Leandro Del Pezzo - (email), Jorge García-Melián - (email), Alexander Quaas - (email)

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3

Multiplicity results for fractional systems crossing high eigenvalues

Communications on Pure and Applied Analysis  Volume 16, Issue 6, Pages : 2069 - 2088, 2017

Fábio R. Pereira - (email)

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4

Existence and convexity of solutions of the fractional heat equation

Communications on Pure and Applied Analysis  Volume 16, Issue 6, Pages : 2201 - 2226, 2017

Antonio Greco - (email), Antonio Iannizzotto - (email)

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5

Multiple positive solutions for Schrödinger-Poisson system in $\mathbb{R}^{3}$ involving concave-convex nonlinearities with critical exponent

Communications on Pure and Applied Analysis  Volume 16, Issue 5, Pages : 1587 - 1602, 2017

Miao-Miao Li - (email), Chun-Lei Tang - (email)

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6

Semilinear nonlocal elliptic equations with critical and supercritical exponents

Communications on Pure and Applied Analysis  Volume 16, Issue 5, Pages : 1741 - 1766, 2017

Mousomi Bhakta - (email), Debangana Mukherjee - (email)

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7

Monotonicity and symmetry of solutions to fractional Laplacian equation

Discrete and Continuous Dynamical Systems  Volume 37, Issue 7, Pages : 3587 - 3599, 2017

Tingzhi Cheng - (email)

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8

Least energy solutions for nonlinear Schrödinger equation involving the fractional Laplacian and critical growth

Discrete and Continuous Dynamical Systems  Volume 37, Issue 7, Pages : 3963 - 3987, 2017

Miaomiao Niu - (email), Zhongwei Tang - (email)

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9

Periodic solutions for a superlinear fractional problem without the Ambrosetti-Rabinowitz condition

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2265 - 2284, 2017

Vincenzo Ambrosio - (email)

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10

Existence and uniqueness of positive solutions for a class of logistic type elliptic equations in $\mathbb{R}^N$ involving fractional Laplacian

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2653 - 2668, 2017

Alexander Quaas - (email), Aliang Xia - (email)

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11

Resonant problems for fractional Laplacian

Communications on Pure and Applied Analysis  Volume 16, Issue 1, Pages : 163 - 187, 2016

Yutong Chen - (email), Jiabao Su - (email)

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12

Trudinger-Moser type inequality and existence of solution for perturbed non-local elliptic operators with exponential nonlinearity

Communications on Pure and Applied Analysis  Volume 16, Issue 1, Pages : 243 - 252, 2016

Anouar Bahrouni - (email)

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13

Infinitely many non-radial solutions for the prescribed curvature problem of fractional operator

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 6873 - 6898, 2016

Yuxia Guo - (email), Jianjun Nie - (email)

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14

The global attractor of the 2d Boussinesq equations with fractional Laplacian in subcritical case

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2531 - 2550, 2016

Wenru Huo - (email), Aimin Huang - (email)

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15

Partial regularity of solutions to the fractional Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 36, Issue 10, Pages : 5309 - 5322, 2016

Yukang Chen - (email), Changhua Wei - (email)

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16

A fractional eigenvalue problem in $\mathbb{R}^N$

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 3, Pages : 619 - 629, 2016

Giacomo Bocerani - (email), Dimitri Mugnai - (email)

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17

On the differentiability of the solutions of non-local Isaacs equations involving $\frac{1}{2}$-Laplacian

Communications on Pure and Applied Analysis  Volume 15, Issue 3, Pages : 907 - 927, 2016

Imran H. Biswas - (email), Indranil Chowdhury - (email)

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18

Layer solutions for an Allen-Cahn type system driven by the fractional Laplacian

Communications on Pure and Applied Analysis  Volume 15, Issue 3, Pages : 947 - 964, 2016

Yan Hu - (email)

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19

Remarks on weak solutions of fractional elliptic equations

Communications on Pure and Applied Analysis  Volume 15, Issue 2, Pages : 335 - 340, 2016

Wanwan Wang - (email), Hongxia Zhang - (email), Huyuan Chen - (email)

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20

Schrödinger-Kirchhoff-Poisson type systems

Communications on Pure and Applied Analysis  Volume 15, Issue 2, Pages : 429 - 444, 2016

Cyril Joel Batkam - (email), João R. Santos Júnior - (email)

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21

Existence and concentration of solutions for a non-linear fractional Schrödinger equation with steep potential well

Communications on Pure and Applied Analysis  Volume 15, Issue 2, Pages : 535 - 547, 2016

César E. Torres Ledesma - (email)

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22

Some observations on the Green function for the ball in the fractional Laplace framework

Communications on Pure and Applied Analysis  Volume 15, Issue 2, Pages : 657 - 699, 2016

Claudia Bucur - (email)

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23

Nonlinear elliptic systems involving the fractional Laplacian in the unit ball and on a half space

Communications on Pure and Applied Analysis  Volume 14, Issue 6, Pages : 2335 - 2362, 2015

Chenchen Mou - (email)

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24

Boundary blow-up solutions to fractional elliptic equations in a measure framework

Discrete and Continuous Dynamical Systems  Volume 36, Issue 4, Pages : 1881 - 1903, 2015

Huyuan Chen - (email), Hichem Hajaiej - (email), Ying Wang - (email)

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25

Infinitely many positive and sign-changing solutions for nonlinear fractional scalar field equations

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 917 - 939, 2015

Wei Long - (email), Shuangjie Peng - (email), Jing Yang - (email)

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26

Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 1125 - 1141, 2015

Ran Zhuo - (email), Wenxiong Chen - (email), Xuewei Cui - (email), Zixia Yuan - (email)

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27

Positive solution for quasilinear Schrödinger equations with a parameter

Communications on Pure and Applied Analysis  Volume 14, Issue 5, Pages : 1803 - 1816, 2015

GUANGBING LI - (email)

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28

A fractional Dirichlet-to-Neumann operator on bounded Lipschitz domains

Communications on Pure and Applied Analysis  Volume 14, Issue 5, Pages : 2043 - 2067, 2015

Mahamadi Warma - (email)

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29

Large $s$-harmonic functions and boundary blow-up solutions for the fractional Laplacian

Discrete and Continuous Dynamical Systems  Volume 35, Issue 12, Pages : 5555 - 5607, 2015

Nicola Abatangelo - (email)

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30

On the variation of the fractional mean curvature under the effect of $C^{1, \alpha}$ perturbations

Discrete and Continuous Dynamical Systems  Volume 35, Issue 12, Pages : 5769 - 5786, 2015

Matteo Cozzi - (email)

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31

On the asymptotic behaviour of solutions to the fractional porous medium equation with variable density

Discrete and Continuous Dynamical Systems  Volume 35, Issue 12, Pages : 5927 - 5962, 2015

Gabriele Grillo - (email), Matteo Muratori - (email), Fabio Punzo - (email)

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32

Wave extension problem for the fractional Laplacian

Discrete and Continuous Dynamical Systems  Volume 35, Issue 10, Pages : 4905 - 4929, 2015

Mikko Kemppainen - (email), Peter Sjögren - (email), José Luis Torrea - (email)

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33

Trace Hardy--Sobolev--Maz'ya inequalities for the half fractional Laplacian

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 373 - 382, 2014

Stathis Filippas - (email), Luisa Moschini - (email), Achilles Tertikas - (email)

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34

Local integration by parts and Pohozaev identities for higher order fractional Laplacians

Discrete and Continuous Dynamical Systems  Volume 35, Issue 5, Pages : 2131 - 2150, 2014

Xavier Ros-Oton - (email), Joaquim Serra - (email)

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35

Sharper estimates on the eigenvalues of Dirichlet fractional Laplacian

Discrete and Continuous Dynamical Systems  Volume 35, Issue 5, Pages : 2209 - 2225, 2014

Selma Yildirim Yolcu - (email), Türkay Yolcu - (email)

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36

Existence of weak solutions for non-local fractional problems via Morse theory

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 8, Pages : 2483 - 2499, 2014

Massimiliano Ferrara - (email), Giovanni Molica Bisci - (email), Binlin Zhang - (email)

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37

A global implicit function theorem and its applications to functional equations

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 8, Pages : 2549 - 2556, 2014

Dariusz Idczak - (email)

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38

Multiple solutions for Dirichlet nonlinear BVPs involving fractional Laplacian

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 8, Pages : 2581 - 2591, 2014

Tadeusz Kulczycki - (email), Robert Stańczy - (email)

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39

Radial symmetry of ground states for a regional fractional Nonlinear Schrödinger Equation

Communications on Pure and Applied Analysis  Volume 13, Issue 6, Pages : 2395 - 2406, 2014

Patricio Felmer - (email), César Torres - (email)

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40

Multiple solutions for a class of nonlinear Neumann eigenvalue problems

Communications on Pure and Applied Analysis  Volume 13, Issue 4, Pages : 1491 - 1512, 2014

Leszek Gasiński - (email), Nikolaos S. Papageorgiou - (email)

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41

Asymptotic symmetry for a class of nonlinear fractional reaction-diffusion equations

Discrete and Continuous Dynamical Systems  Volume 34, Issue 6, Pages : 2581 - 2615, 2013

Sven Jarohs - (email), Tobias Weth - (email)

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42

Uniform Hölder regularity with small exponent in competition-fractional diffusion systems

Discrete and Continuous Dynamical Systems  Volume 34, Issue 6, Pages : 2669 - 2691, 2013

Susanna Terracini - (email), Gianmaria Verzini - (email), Alessandro Zilio - (email)

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43

Existence of solutions and positivity of the infimum eigenvalue for degenerate elliptic equations with variable exponents

DCDS Supplements  Volume 2013, Issue special, Pages : 695 - 707, 2013

Inbo Sim - (email), Yun-Ho Kim - (email)

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44

Positive solutions of nonhomogeneous fractional Laplacian problem with critical exponent

Communications on Pure and Applied Analysis  Volume 13, Issue 2, Pages : 567 - 584, 2013

Xudong Shang - (email), Jihui Zhang - (email), Yang Yang - (email)

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45

Some united existence results of periodic solutions for non-quadratic second order Hamiltonian systems

Communications on Pure and Applied Analysis  Volume 13, Issue 1, Pages : 75 - 95, 2013

Xingyong Zhang - (email), Xianhua Tang - (email)

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46

A Brezis-Nirenberg result for non-local critical equations in low dimension

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 2445 - 2464, 2013

Raffaella Servadei - (email), Enrico Valdinoci - (email)

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47

Asymptotics of the $s$-perimeter as $s\searrow 0$

Discrete and Continuous Dynamical Systems  Volume 33, Issue 7, Pages : 2777 - 2790, 2013

Serena Dipierro - (email), Alessio Figalli - (email), Giampiero Palatucci - (email), Enrico Valdinoci - (email)

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48

Multiplicity of solutions for Neumann problems with an indefinite and unbounded potential

Communications on Pure and Applied Analysis  Volume 12, Issue 5, Pages : 1985 - 1999, 2013

Leszek Gasiński - (email), Nikolaos S. Papageorgiou - (email)

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49

Existence and multiplicity of semiclassical states for a quasilinear Schrödinger equation in $\mathbb{R}^N$

Communications on Pure and Applied Analysis  Volume 12, Issue 1, Pages : 429 - 449, 2012

Minbo Yang - (email), Yanheng Ding - (email)

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50

Positive solutions for non local elliptic problems

Discrete and Continuous Dynamical Systems  Volume 33, Issue 2, Pages : 837 - 859, 2012

Jinggang Tan - (email)

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51

Double resonance for Dirichlet problems with unbounded indefinite potential and combined nonlinearities

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 2005 - 2021, 2012

Shouchuan Hu - (email), Nikolaos S. Papageorgiou - (email)

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52

Bernstein estimates: weakly coupled systems and integral equations

Communications on Pure and Applied Analysis  Volume 11, Issue 3, Pages : 861 - 883, 2011

Diogo A. Gomes - (email), Gabriele Terrone - (email)

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53

On the existence of nontrivial solutions of inequalities in Orlicz-Sobolev spaces

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 4, Pages : 809 - 818, 2011

Vy Khoi Le - (email)

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54

Positive solutions of $p$-Laplacian equations with nonlinear boundary condition

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 2, Pages : 623 - 636, 2011

Zuodong Yang - (email), Jing Mo - (email), Subei Li - (email)

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55

Solutions of a pure critical exponent problem involving the half-laplacian in annular-shaped domains

Communications on Pure and Applied Analysis  Volume 10, Issue 6, Pages : 1645 - 1662, 2011

Antonio Capella - (email)

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56

Nonlinear Neumann equations driven by a nonhomogeneous differential operator

Communications on Pure and Applied Analysis  Volume 10, Issue 4, Pages : 1055 - 1078, 2011

Shouchuan Hu - (email), Nikolaos S. Papageorgiou - (email)

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57

Traveling waves in Fermi-Pasta-Ulam lattices with saturable nonlinearities

Discrete and Continuous Dynamical Systems  Volume 30, Issue 3, Pages : 835 - 849, 2011

Alexander Pankov - (email), Vassilis M. Rothos - (email)

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58

Asymptotic behaviour of a porous medium equation with fractional diffusion

Discrete and Continuous Dynamical Systems  Volume 29, Issue 4, Pages : 1393 - 1404, 2010

Luis Caffarelli - (email), Juan-Luis Vázquez - (email)

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59

Global wellposedness for a transport equation with super-critial dissipation

Communications on Pure and Applied Analysis  Volume 10, Issue 2, Pages : 653 - 665, 2010

Xumin Gu - (email)

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60

Positive solutions and bifurcation phenomena for nonlinear elliptic equations of logistic type: The superdiffusive case

Communications on Pure and Applied Analysis  Volume 9, Issue 6, Pages : 1507 - 1527, 2010

Michael E. Filippakis - (email), Donal O'Regan - (email), Nikolaos S. Papageorgiou - (email)

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61

Generalized eigenvalue problem for totally discontinuous operators

Discrete and Continuous Dynamical Systems  Volume 28, Issue 1, Pages : 343 - 373, 2010

Jean-Michel Rakotoson - (email)

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62

Homoclinic orbits for superlinear Hamiltonian systems without Ambrosetti-Rabinowitz growth condition

Discrete and Continuous Dynamical Systems  Volume 27, Issue 3, Pages : 1241 - 1257, 2010

Jun Wang - (email), Junxiang Xu - (email), Fubao Zhang - (email)

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63

Some abstract critical point theorems and applications

DCDS Supplements  Volume 2009, Issue Special, Pages : 133 - 142, 2009

Anna Maria Candela - (email), Giuliana Palmieri - (email)

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64

Sign--changing solutions for an asymptotically linear Schrödinger equation

DCDS Supplements  Volume 2009, Issue Special, Pages : 669 - 677, 2009

Addolorata Salvatore - (email)

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65

Multiple solutions for nonlinear coercive Neumann problems

Communications on Pure and Applied Analysis  Volume 8, Issue 6, Pages : 1957 - 1974, 2009

Sophia Th. Kyritsi - (email), Nikolaos S. Papageorgiou - (email)

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66

Three nontrivial solutions for periodic problems with the $p$-Laplacian and a $p$-superlinear nonlinearity

Communications on Pure and Applied Analysis  Volume 8, Issue 4, Pages : 1421 - 1437, 2009

Leszek Gasiński - (email), Nikolaos S. Papageorgiou - (email)

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67

Existence results for quasilinear hemivariational inequalities at resonance

DCDS Supplements  Volume 2007, Issue Special, Pages : 409 - 418, 2007

Leszek Gasiński - (email)

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68

Positive solution for a nonlinear stationary Schrödinger-Poisson system in $R^3$

Discrete and Continuous Dynamical Systems  Volume 18, Issue 4, Pages : 809 - 816, 2007

Zhengping Wang - (email), Huan-Song Zhou - (email)

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69

Nonlinear hemivariational inequalities with eigenvalues near zero

DCDS Supplements  Volume 2005, Issue Special, Pages : 317 - 326, 2005

Leszek Gasiński - (email), Nikolaos S. Papageorgiou - (email)

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70

Existence and multiplicity of positive solutions for nonlinear boundary value problems driven by the scalar $p$-Laplacian

Communications on Pure and Applied Analysis  Volume 3, Issue 4, Pages : 729 - 756, 2004

Michael E. Filippakis - (email), Nikolaos S. Papageorgiou - (email)

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