American Institute of Mathematical Sciences

Advanced

ISSN:
 1534-0392

eISSN:
 1553-5258

Journal Home

All Issues

Volume 20, 2021

Volume 19, 2020

Volume 18, 2019

Volume 17, 2018

Volume 16, 2017

Volume 15, 2016

Volume 14, 2015

Volume 13, 2014

Volume 12, 2013

Volume 11, 2012

Volume 10, 2011

Volume 9, 2010

Volume 8, 2009

Volume 7, 2008

Volume 6, 2007

Volume 5, 2006

Volume 4, 2005

Volume 3, 2004

Volume 2, 2003

Volume 1, 2002

Communications on Pure & Applied Analysis (CPAA) publishes original research papers of the highest quality in all the major areas of analysis and its applications, with a central theme on theoretical and numeric differential equations. Invited expository articles are also published from time to time. It is edited by a group of energetic leaders to guarantee the journal's highest standard and closest link to the scientific communities.

CPAA Flyer
Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

Select all articles

Export/Reference:

Response solutions to harmonic oscillators beyond multi–dimensional Brjuno frequency
Hongyu Cheng and Shimin Wang
2021, 20(2) : 467-494 doi: 10.3934/cpaa.2020222 +[Abstract](356) +[HTML](75) +[PDF](450.54KB)
On the Cahn-Hilliard equation with mass source for biological applications
Hussein Fakih, Ragheb Mghames and Noura Nasreddine
2021, 20(2) : 495-510 doi: 10.3934/cpaa.2020277 +[Abstract](292) +[HTML](72) +[PDF](1413.88KB)
Topological Equivalence of nonautonomous difference equations with a family of dichotomies on the half line
Álvaro Castañeda, Pablo González and Gonzalo Robledo
2021, 20(2) : 511-532 doi: 10.3934/cpaa.2020278 +[Abstract](300) +[HTML](75) +[PDF](433.38KB)
Homogenization and singular perturbation in porous media
Eduard Marušić-Paloka and Igor Pažanin
2021, 20(2) : 533-545 doi: 10.3934/cpaa.2020279 +[Abstract](310) +[HTML](100) +[PDF](340.46KB)
A unique continuation property for a class of parabolic differential inequalities in a bounded domain
Guojie Zheng, Dihong Xu and Taige Wang
2021, 20(2) : 547-558 doi: 10.3934/cpaa.2020280 +[Abstract](339) +[HTML](73) +[PDF](331.74KB)
Classification and evolution of bifurcation curves for a porous-medium combustion problem with large activation energy
Kuo-Chih Hung and Shin-Hwa Wang
2021, 20(2) : 559-582 doi: 10.3934/cpaa.2020281 +[Abstract](314) +[HTML](80) +[PDF](424.61KB)
Semilinear Caputo time-fractional pseudo-parabolic equations
Nguyen Huy Tuan, Vo Van Au and Runzhang Xu
2021, 20(2) : 583-621 doi: 10.3934/cpaa.2020282 +[Abstract](399) +[HTML](176) +[PDF](508.12KB)
Dimension estimate of attractors for complex networks of reaction-diffusion systems applied to an ecological model
Guillaume Cantin and M. A. Aziz-Alaoui
2021, 20(2) : 623-650 doi: 10.3934/cpaa.2020283 +[Abstract](295) +[HTML](68) +[PDF](1813.66KB)
Random data theory for the cubic fourth-order nonlinear Schrödinger equation
Van Duong Dinh
2021, 20(2) : 651-680 doi: 10.3934/cpaa.2020284 +[Abstract](361) +[HTML](58) +[PDF](465.57KB)
Dual spaces of mixed-norm martingale Hardy spaces
Ferenc Weisz
2021, 20(2) : 681-695 doi: 10.3934/cpaa.2020285 +[Abstract](243) +[HTML](72) +[PDF](364.07KB)
Elliptic problems with rough boundary data in generalized Sobolev spaces
Anna Anop, Robert Denk and Aleksandr Murach
2021, 20(2) : 697-735 doi: 10.3934/cpaa.2020286 +[Abstract](288) +[HTML](74) +[PDF](515.58KB)
Almost global existence for the Klein-Gordon equation with the Kirchhoff-type nonlinearity
Zheng Han and Daoyuan Fang
2021, 20(2) : 737-754 doi: 10.3934/cpaa.2020287 +[Abstract](259) +[HTML](63) +[PDF](381.34KB)
Single species population dynamics in seasonal environment with short reproduction period
Attila Dénes and Gergely Röst
2021, 20(2) : 755-762 doi: 10.3934/cpaa.2020288 +[Abstract](287) +[HTML](83) +[PDF](587.42KB)
Further regularity and uniqueness results for a non-isothermal Cahn-Hilliard equation
Erica Ipocoana and Andrea Zafferi
2021, 20(2) : 763-782 doi: 10.3934/cpaa.2020289 +[Abstract](244) +[HTML](60) +[PDF](363.11KB)
The anisotropic fractional isoperimetric problem with respect to unconditional unit balls
Andreas Kreuml
2021, 20(2) : 783-799 doi: 10.3934/cpaa.2020290 +[Abstract](195) +[HTML](54) +[PDF](362.47KB)
The boundedness of multi-linear and multi-parameter pseudo-differential operators
Liang Huang and Jiao Chen
2021, 20(2) : 801-815 doi: 10.3934/cpaa.2020291 +[Abstract](234) +[HTML](63) +[PDF](347.22KB)
Ground state and nodal solutions for fractional Schrödinger-Maxwell-Kirchhoff systems with pure critical growth nonlinearity
Chungen Liu and Huabo Zhang
2021, 20(2) : 817-834 doi: 10.3934/cpaa.2020292 +[Abstract](237) +[HTML](60) +[PDF](394.47KB)
Sub-solutions and a point-wise Hopf's lemma for fractional $ p $-Laplacian
Zaizheng Li and Qidi Zhang
2021, 20(2) : 835-865 doi: 10.3934/cpaa.2020293 +[Abstract](266) +[HTML](60) +[PDF](490.8KB)
Multiple positive solutions for coupled Schrödinger equations with perturbations
Haoyu Li and Zhi-Qiang Wang
2021, 20(2) : 867-884 doi: 10.3934/cpaa.2020294 +[Abstract](254) +[HTML](61) +[PDF](463.51KB)
On the quotient quantum graph with respect to the regular representation
Gökhan Mutlu
2021, 20(2) : 885-902 doi: 10.3934/cpaa.2020295 +[Abstract](209) +[HTML](53) +[PDF](331.92KB)
Inequalities of Hermite-Hadamard type for higher order convex functions, revisited
Tomasz Szostok
2021, 20(2) : 903-914 doi: 10.3934/cpaa.2020296 +[Abstract](237) +[HTML](55) +[PDF](455.31KB)
The degenerate Monge-Ampère equations with the Neumann condition
Juhua Shi and Feida Jiang
2021, 20(2) : 915-931 doi: 10.3934/cpaa.2020297 +[Abstract](223) +[HTML](47) +[PDF](372.98KB)
Ground states for a class of quasilinear Schrödinger equations with vanishing potentials
Zhouxin Li and Yimin Zhang
2021, 20(2) : 933-954 doi: 10.3934/cpaa.2020298 +[Abstract](233) +[HTML](57) +[PDF](466.6KB)
Blow-up results for effectively damped wave models with nonlinear memory
Tayeb Hadj Kaddour and Michael Reissig
2020doi: 10.3934/cpaa.2020239 +[Abstract](563) +[HTML](217) +[PDF](338.09KB)
Remark on 3-D Navier-Stokes system with strong dissipation in one direction
Yanlin Liu and Ping Zhang
2020doi: 10.3934/cpaa.2020244 +[Abstract](437) +[HTML](194) +[PDF](383.55KB)
The two-component Novikov-type systems with peaked solutions and $ H^1 $-conservation law
Min Zhao and Changzheng Qu
2020doi: 10.3934/cpaa.2020245 +[Abstract](487) +[HTML](210) +[PDF](367.37KB)
Multiple solutions for nonlinear cone degenerate elliptic equations
Hua Chen and Yawei Wei
2020doi: 10.3934/cpaa.2020272 +[Abstract](393) +[HTML](136) +[PDF](319.1KB)
Global existence and uniform estimates of solutions to reaction diffusion systems with mass transport type boundary conditions
Vandana Sharma
2021doi: 10.3934/cpaa.2021001 +[Abstract](230) +[HTML](82) +[PDF](319.92KB)
Discrete diffusion semigroups associated with Jacobi-Dunkl and exceptional Jacobi polynomials
Ágota P. Horváth
2021doi: 10.3934/cpaa.2021002 +[Abstract](157) +[HTML](96) +[PDF](386.52KB)
Large-time behavior of solutions to unipolar Euler-Poisson equations with time-dependent damping
Qiwei Wu and Liping Luan
2021doi: 10.3934/cpaa.2021003 +[Abstract](215) +[HTML](81) +[PDF](359.76KB)
An overdetermined problem associated to the Finsler Laplacian
Giulio Ciraolo and Antonio Greco
2021doi: 10.3934/cpaa.2021004 +[Abstract](216) +[HTML](96) +[PDF](332.29KB)
Polynomial growth of high sobolev norms of solutions to the Zakharov-Kuznetsov equation
Raphaël Côte and Frédéric Valet
2021doi: 10.3934/cpaa.2021005 +[Abstract](122) +[HTML](62) +[PDF](405.28KB)
Well-posedness and attractor for a strongly damped wave equation with supercritical nonlinearity on $ \mathbb{R}^{N} $
Pengyan Ding and Zhijian Yang
2021doi: 10.3934/cpaa.2021006 +[Abstract](137) +[HTML](69) +[PDF](388.66KB)
Rational limit cycles of abel equations
Jaume Llibre and Claudia Valls
2021doi: 10.3934/cpaa.2021007 +[Abstract](120) +[HTML](66) +[PDF](284.28KB)
Scale pressure for amenable group actions
Dandan Cheng, Qian Hao and Zhiming Li
2021doi: 10.3934/cpaa.2021008 +[Abstract](135) +[HTML](58) +[PDF](304.83KB)
Boundary-Domain Integral Equations equivalent to an exterior mixed bvp for the variable-viscosity compressible stokes pdes
Sergey E. Mikhailov and Carlos F. Portillo
2021doi: 10.3934/cpaa.2021009 +[Abstract](124) +[HTML](62) +[PDF](485.75KB)
Approximation of a stochastic two-phase flow model by a splitting-up method
G. Deugoué, B. Jidjou Moghomye and T. Tachim Medjo
2021doi: 10.3934/cpaa.2021010 +[Abstract](64) +[HTML](38) +[PDF](529.05KB)
The BSE concepts for vector-valued Lipschitz algebras
Fatemeh Abtahi, Zeinab Kamali and Maryam Toutounchi
2021doi: 10.3934/cpaa.2021011 +[Abstract](83) +[HTML](39) +[PDF](321.97KB)
The interior gradient estimate of prescribed Hessian quotient curvature equation in the hyperbolic space
Xinqun Mei and Jundong Zhou
2021doi: 10.3934/cpaa.2021012 +[Abstract](68) +[HTML](37) +[PDF](337.45KB)
Kuramoto order parameters and phase concentration for the Kuramoto-Sakaguchi equation with frustration
Seung-Yeal Ha, Javier Morales and Yinglong Zhang
2021doi: 10.3934/cpaa.2021013 +[Abstract](70) +[HTML](43) +[PDF](496.32KB)
Global solutions of a two-dimensional Riemann problem for the pressure gradient system
Gui-Qiang G. Chen, Qin Wang and Shengguo Zhu
2021doi: 10.3934/cpaa.2021014 +[Abstract](74) +[HTML](75) +[PDF](643.44KB)
On a supersonic-sonic patch arising from the frankl problem in transonic flows
Yanbo Hu and Jiequan Li
2021doi: 10.3934/cpaa.2021015 +[Abstract](72) +[HTML](38) +[PDF](463.0KB)
Cylindrical estimates for mean curvature flow in hyperbolic spaces
Zhengchao Ji
2021doi: 10.3934/cpaa.2021016 +[Abstract](20) +[HTML](16) +[PDF](322.29KB)
Existence of solution and asymptotic behavior for a class of parabolic equations
Anderson L. A. de Araujo and Marcelo Montenegro
2021doi: 10.3934/cpaa.2021017 +[Abstract](17) +[HTML](13) +[PDF](375.98KB)
Global well-posedness of the $ n $-dimensional hyper-dissipative Boussinesq system without thermal diffusivity
Xuemin Deng, Yuelong Xiao and Aibin Zang
2021doi: 10.3934/cpaa.2021018 +[Abstract](16) +[HTML](12) +[PDF](398.44KB)
Classification of positive solutions for fully nonlinear elliptic equations in unbounded cylinders
Lidan Wang, Lihe Wang and Chunqin Zhou
2021doi: 10.3934/cpaa.2021019 +[Abstract](18) +[HTML](12) +[PDF](424.67KB)
Gromov-Hausdorff stability of reaction diffusion equations with Robin boundary conditions under perturbations of the domain and equation
Jihoon Lee and Nguyen Thanh Nguyen
2021doi: 10.3934/cpaa.2021020 +[Abstract](31) +[HTML](18) +[PDF](497.77KB)
Stability of rarefaction wave for the compressible non-isentropic Navier-Stokes-Maxwell equations
Huancheng Yao, Haiyan Yin and Changjiang Zhu
2021doi: 10.3934/cpaa.2021021 +[Abstract](26) +[HTML](18) +[PDF](464.06KB)
On the stationary solutions of generalized reaction diffusion equations with $p\& q$-Laplacian
L. Cherfils and Y. Il'yasov
2005, 4(1) : 9-22 doi: 10.3934/cpaa.2005.4.9 +[Abstract](2945) +[PDF](225.5KB) Cited By(106)
A general multipurpose interpolation procedure: the magic points
Yvon Maday, Ngoc Cuong Nguyen, Anthony T. Patera and S. H. Pau
2009, 8(1) : 383-404 doi: 10.3934/cpaa.2009.8.383 +[Abstract](4956) +[PDF](826.7KB) Cited By(103)
Almost periodicity analysis for a delayed Nicholson's blowflies model with nonlinear density-dependent mortality term
Chuangxia Huang, Hua Zhang and Lihong Huang
2019, 18(6) : 3337-3349 doi: 10.3934/cpaa.2019150 +[Abstract](2718) +[HTML](230) +[PDF](373.99KB) Cited By(95)
A Brezis-Nirenberg result for non-local critical equations in low dimension
Raffaella Servadei and Enrico Valdinoci
2013, 12(6) : 2445-2464 doi: 10.3934/cpaa.2013.12.2445 +[Abstract](4535) +[PDF](509.5KB) Cited By(91)
Convergence of generalized proximal point algorithms
Giuseppe Marino and Hong-Kun Xu
2004, 3(4) : 791-808 doi: 10.3934/cpaa.2004.3.791 +[Abstract](4072) +[PDF](181.7KB) Cited By(89)
Periodic solutions of nonlinear periodic differential systems with a small parameter
Adriana Buică, Jean–Pierre Françoise and Jaume Llibre
2007, 6(1) : 103-111 doi: 10.3934/cpaa.2007.6.103 +[Abstract](2250) +[PDF](130.3KB) Cited By(75)
The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system$^*$
Lihui Guo, Wancheng Sheng and Tong Zhang
2010, 9(2) : 431-458 doi: 10.3934/cpaa.2010.9.431 +[Abstract](4157) +[PDF](1276.3KB) Cited By(70)
On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions
Gianni Gilardi, A. Miranville and Giulio Schimperna
2009, 8(3) : 881-912 doi: 10.3934/cpaa.2009.8.881 +[Abstract](3423) +[PDF](395.6KB) Cited By(69)
A Liouville type Theorem for an integral system
Dezhong Chen and Li Ma
2006, 5(4) : 855-859 doi: 10.3934/cpaa.2006.5.855 +[Abstract](3564) +[PDF](102.3KB) Cited By(68)
Quasilinear Schrödinger equations involving concave and convex nonlinearities
João Marcos do Ó and Uberlandio Severo
2009, 8(2) : 621-644 doi: 10.3934/cpaa.2009.8.621 +[Abstract](2808) +[PDF](274.6KB) Cited By(66)
Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis
Norikazu Saito
2012, 11(1) : 339-364 doi: 10.3934/cpaa.2012.11.339 +[Abstract](3643) +[PDF](486.1KB) PDF Downloads(431)
Bifurcation and stability of a two-species diffusive Lotka-Volterra model
Li Ma and Shangjiang Guo
2020, 19(3) : 1205-1232 doi: 10.3934/cpaa.2020056 +[Abstract](1864) +[HTML](80) +[PDF](419.64KB) PDF Downloads(400)
Coupled systems of Hilfer fractional differential inclusions in banach spaces
Saïd Abbas, Mouffak Benchohra and John R. Graef
2018, 17(6) : 2479-2493 doi: 10.3934/cpaa.2018118 +[Abstract](4458) +[HTML](221) +[PDF](328.43KB) PDF Downloads(358)
Nonlinear wave equation with both strongly and weakly damped terms: Supercritical initial energy finite time blow up
Yanbing Yang and Runzhang Xu
2019, 18(3) : 1351-1358 doi: 10.3934/cpaa.2019065 +[Abstract](4083) +[HTML](360) +[PDF](342.33KB) PDF Downloads(355)
Kirchhoff type equations with strong singularities
Yijing Sun and Yuxin Tan
2019, 18(1) : 181-193 doi: 10.3934/cpaa.2019010 +[Abstract](3890) +[HTML](209) +[PDF](342.2KB) PDF Downloads(351)
Approximation by multivariate max-product Kantorovich-type operators and learning rates of least-squares regularized regression
Lucian Coroianu, Danilo Costarelli, Sorin G. Gal and Gianluca Vinti
2020, 19(8) : 4213-4225 doi: 10.3934/cpaa.2020189 +[Abstract](644) +[HTML](82) +[PDF](414.25KB) PDF Downloads(328)
Semi-exact solutions and pulsating fronts for Lotka-Volterra systems of two competing species in spatially periodic habitats
Chiun-Chuan Chen, Yin-Liang Huang, Li-Chang Hung and Chang-Hong Wu
2020, 19(1) : 1-18 doi: 10.3934/cpaa.2020001 +[Abstract](2033) +[HTML](266) +[PDF](460.49KB) PDF Downloads(325)
Translating solutions of non-parametric mean curvature flows with capillary-type boundary value problems
Jun Wang, Wei Wei and Jinju Xu
2019, 18(6) : 3243-3265 doi: 10.3934/cpaa.2019146 +[Abstract](1743) +[HTML](211) +[PDF](407.02KB) PDF Downloads(325)
Mean value properties and unique continuation
José G. Llorente
2015, 14(1) : 185-199 doi: 10.3934/cpaa.2015.14.185 +[Abstract](2400) +[PDF](427.4KB) PDF Downloads(322)
On a delayed epidemic model with non-instantaneous impulses
Liang Bai, Juan J. Nieto and José M. Uzal
2020, 19(4) : 1915-1930 doi: 10.3934/cpaa.2020084 +[Abstract](1089) +[HTML](163) +[PDF](356.02KB) PDF Downloads(311)

2019  Impact Factor: 1.105

Readers

Authors

Editors

Referees

Librarians

More

Email Alert

[Back to Top]

Copyright © 2021 American Institute of Mathematical Sciences