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1

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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2

Positive solutions of Kirchhoff type problem with singular and critical nonlinearities in dimension four

Communications on Pure and Applied Analysis  Volume 15, Issue 5, Pages : 1841 - 1856, 2016

Rui-Qi Liu - (email), Chun-Lei Tang - (email), Jia-Feng Liao - (email), Xing-Ping Wu - (email)

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3

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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4

Positive solutions of perturbed elliptic problems involving Hardy potential and critical Sobolev exponent

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 6, Pages : 1999 - 2009, 2016

Jing Zhang - (email), Shiwang Ma - (email)

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5

The lifespan of solutions to semilinear damped wave equations in one space dimension

Communications on Pure and Applied Analysis  Volume 15, Issue 4, Pages : 1265 - 1283, 2016

Kyouhei Wakasa - (email)

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6

Soliton solutions for a quasilinear Schrödinger equation with critical exponent

Communications on Pure and Applied Analysis  Volume 15, Issue 4, Pages : 1309 - 1333, 2016

Wentao Huang - (email), Jianlin Xiang - (email)

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7

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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8

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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9

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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10

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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11

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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12

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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13

A note on a weakly coupled system of structurally damped waves

DCDS Supplements  Volume 2015, Issue special, Pages : 320 - 329, 2015

Marcello D'Abbicco - (email)

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14

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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15

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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16

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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17

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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18

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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19

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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20

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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21

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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22

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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23

Multi-bump solutions for Schrödinger equation involving critical growth and potential wells

Discrete and Continuous Dynamical Systems  Volume 35, Issue 8, Pages : 3393 - 3415, 2015

Yuxia Guo - (email), Zhongwei Tang - (email)

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24

Nodal solutions of 2-D critical nonlinear Schrödinger equations with potentials vanishing at infinity

Discrete and Continuous Dynamical Systems  Volume 35, Issue 7, Pages : 2921 - 2948, 2015

Mingwen Fei - (email), Huicheng Yin - (email)

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25

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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26

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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27

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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28

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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29

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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30

Infinitely many sign-changing solutions for the Brézis-Nirenberg problem

Communications on Pure and Applied Analysis  Volume 13, Issue 6, Pages : 2317 - 2330, 2014

Jijiang Sun - (email), Shiwang Ma - (email)

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31

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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32

Errata: Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping

Evolution Equations and Control Theory  Volume 3, Issue 2, Pages : 349 - 354, 2014

Lorena Bociu - (email), Petronela Radu - (email), Daniel Toundykov - (email)

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33

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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34

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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35

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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36

Growth of quotients of groups acting by isometries on Gromov-hyperbolic spaces

Journal of Modern Dynamics  Volume 7, Issue 2, Pages : 269 - 290, 2013

Stéphane Sabourau - (email)

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37

Infinitely many radial solutions to elliptic systems involving critical exponents

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 461 - 475, 2013

Yinbin Deng - (email), Shuangjie Peng - (email), Li Wang - (email)

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38

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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39

Existence and multiplicity of solutions for Kirchhoff type problem with critical exponent

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 2773 - 2786, 2013

Qi-Lin Xie - (email), Xing-Ping Wu - (email), Chun-Lei Tang - (email)

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40

Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping

Evolution Equations and Control Theory  Volume 2, Issue 2, Pages : 255 - 279, 2013

Lorena Bociu - (email), Petronela Radu - (email), Daniel Toundykov - (email)

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41

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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42

Variational methods for non-local operators of elliptic type

Discrete and Continuous Dynamical Systems  Volume 33, Issue 5, Pages : 2105 - 2137, 2012

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

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43

Homogenization of pinning conditions on periodic networks

Networks and Heterogeneous Media  Volume 7, Issue 3, Pages : 543 - 582, 2012

Laura Sigalotti - (email)

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44

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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45

On vector solutions for coupled nonlinear Schrödinger equations with critical exponents

Communications on Pure and Applied Analysis  Volume 12, Issue 3, Pages : 1259 - 1277, 2012

Seunghyeok Kim - (email)

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46

Semilinear elliptic systems involving multiple critical exponents and singularities in $\mathbb{R}^N$

Discrete and Continuous Dynamical Systems  Volume 32, Issue 12, Pages : 4247 - 4263, 2012

Dongsheng Kang - (email), Fen Yang - (email)

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47

Asymptotic behavior of singular solutions for a semilinear parabolic equation

Discrete and Continuous Dynamical Systems  Volume 32, Issue 11, Pages : 4027 - 4043, 2012

Shota Sato - (email), Eiji Yanagida - (email)

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48

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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49

Appearance of anomalous singularities in a semilinear parabolic equation

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 387 - 405, 2011

Shota Sato - (email), Eiji Yanagida - (email)

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50

Blow-up at space infinity of a solution with a moving singularity for a semilinear parabolic equation

Communications on Pure and Applied Analysis  Volume 10, Issue 4, Pages : 1225 - 1237, 2011

Shota Sato - (email)

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51

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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52

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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53

Positive solutions to a linearly perturbed critical growth biharmonic problem

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 4, Pages : 809 - 823, 2010

Elvise Berchio - (email), Filippo Gazzola - (email)

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54

Singular backward self-similar solutions of a semilinear parabolic equation

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 4, Pages : 897 - 906, 2010

Shota Sato - (email), Eiji Yanagida - (email)

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55

Boundedness and a priori estimates of solutions to elliptic systems with Dirichlet-Neumann boundary conditions

Communications on Pure and Applied Analysis  Volume 9, Issue 3, Pages : 731 - 740, 2010

Sándor Kelemen - (email), Pavol Quittner - (email)

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56

Forward self-similar solution with a moving singularity for a semilinear parabolic equation

Discrete and Continuous Dynamical Systems  Volume 26, Issue 1, Pages : 313 - 331, 2009

Shota Sato - (email), Eiji Yanagida - (email)

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57

Long-time dynamics of a coupled system of nonlinear wave and thermoelastic plate equations

Discrete and Continuous Dynamical Systems  Volume 22, Issue 3, Pages : 557 - 586, 2008

Francesca Bucci - (email), Igor Chueshov - (email)

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58

Non-autonomous wave dynamics with memory --- asymptotic regularity and uniform attractor

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 3/4, May, Pages : 743 - 761, 2008

Chunyou Sun - (email), Daomin Cao - (email), Jinqiao Duan - (email)

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59

Mountain pass solutions to semilinear problems with critical nonlinearity

DCDS Supplements  Volume 2007, Issue Special, Pages : 912 - 919, 2007

Ian Schindler - (email), Kyril Tintarev - (email)

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60

Positive solutions of elliptic equations with a critical oscillatory nonlinearity

DCDS Supplements  Volume 2007, Issue Special, Pages : 974 - 981, 2007

Kyril Tintarev - (email)

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61

Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations

Discrete and Continuous Dynamical Systems  Volume 9, Issue 3, Pages : 651 - 662, 2003

Kosuke Ono - (email)

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62

A sharp Sobolev inequality on Riemannian manifolds

Communications on Pure and Applied Analysis  Volume 2, Issue 1, Pages : 1 - 31, 2002

YanYan Li - (email), Tonia Ricciardi - (email)

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63

Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth

Discrete and Continuous Dynamical Systems  Volume 7, Issue 4, Pages : 703 - 718, 2001

M. Grossi - (email), P. Magrone - (email), M. Matzeu - (email)

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64

The incipient infinite cluster in high-dimensional percolation

Electronic Research Announcements of the AMS  Volume 4, Issue 0, Pages : 48 - 55,

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