ISSN:
 1534-0392

eISSN:
 1553-5258

All Issues

Volume 21, 2022

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





CPAA Flyer: showing all essential information of the journal.
Communications on Pure & Applied Analysis (ISSN 1534-0392) is published monthly. CPAA is devoted to mathematical contributions to the sciences; both theoretical and applied papers, of original or expository type, are included. It features recent development in analysis and its applications, with a central theme on theoretical and numeric differential equations and applications. It is edited by some leading researchers to guarantee the journal's highest standard and closest link to the scientific communities.


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

Select all articles

Export/Reference:

A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition
Makoto Okumura, Takeshi Fukao, Daisuke Furihata and Shuji Yoshikawa
2022, 21(2) : 355-392 doi: 10.3934/cpaa.2021181 +[Abstract](287) +[HTML](121) +[PDF](1379.59KB)
A convergent finite difference method for computing minimal Lagrangian graphs
Brittany Froese Hamfeldt and Jacob Lesniewski
2022, 21(2) : 393-418 doi: 10.3934/cpaa.2021182 +[Abstract](205) +[HTML](85) +[PDF](2120.16KB)
Variation and oscillation for harmonic operators in the inverse Gaussian setting
Víctor Almeida and Jorge J. Betancor
2022, 21(2) : 419-470 doi: 10.3934/cpaa.2021183 +[Abstract](178) +[HTML](86) +[PDF](361.97KB)
Global well-posedness in a chemotaxis system with oxygen consumption
Xujie Yang
2022, 21(2) : 471-492 doi: 10.3934/cpaa.2021184 +[Abstract](221) +[HTML](110) +[PDF](207.36KB)
Global well-posedness and exponential decay for 3D nonhomogeneous magneto-micropolar fluid equations with vacuum
Xin Zhong
2022, 21(2) : 493-515 doi: 10.3934/cpaa.2021185 +[Abstract](256) +[HTML](118) +[PDF](202.38KB)
On a nonlinear Laplace equation related to the boundary Yamabe problem in the upper-half space
Gael Diebou Yomgne
2022, 21(2) : 517-539 doi: 10.3934/cpaa.2021186 +[Abstract](233) +[HTML](109) +[PDF](245.93KB)
Liouville type theorems for stable solutions of elliptic system involving the Grushin operator
Foued Mtiri
2022, 21(2) : 541-553 doi: 10.3934/cpaa.2021187 +[Abstract](225) +[HTML](108) +[PDF](155.22KB)
Wave breaking phenomena and global existence for the weakly dissipative generalized Camassa-Holm equation
Yonghui Zhou and Shuguan Ji
2022, 21(2) : 555-566 doi: 10.3934/cpaa.2021188 +[Abstract](252) +[HTML](113) +[PDF](147.67KB)
Regularity of the attractor for a coupled Klein-Gordon-Schrödinger system in $ \mathbb{R}^3 $ nonlinear KGS system
Salah Missaoui
2022, 21(2) : 567-584 doi: 10.3934/cpaa.2021189 +[Abstract](178) +[HTML](86) +[PDF](174.87KB)
On a system of nonlinear pseudoparabolic equations with Robin-Dirichlet boundary conditions
Le Thi Phuong Ngoc, Khong Thi Thao Uyen, Nguyen Huu Nhan and Nguyen Thanh Long
2022, 21(2) : 585-623 doi: 10.3934/cpaa.2021190 +[Abstract](222) +[HTML](74) +[PDF](292.65KB)
Blowing-up solutions for a supercritical elliptic equation
Yessine Dammak
2022, 21(2) : 625-637 doi: 10.3934/cpaa.2021191 +[Abstract](215) +[HTML](79) +[PDF](171.44KB)
Synchronized and ground-state solutions to a coupled Schrödinger system
Mohammad Ali Husaini and Chuangye Liu
2022, 21(2) : 639-667 doi: 10.3934/cpaa.2021192 +[Abstract](255) +[HTML](104) +[PDF](248.39KB)
Multiple non-radially symmetrical nodal solutions for the Schrödinger system with positive quasilinear term
Jianqing Chen and Qian Zhang
2022, 21(2) : 669-686 doi: 10.3934/cpaa.2021193 +[Abstract](182) +[HTML](91) +[PDF](194.38KB)
Nonnegative solutions to a doubly degenerate nutrient taxis system
Genglin Li and Michael Winkler
2022, 21(2) : 687-704 doi: 10.3934/cpaa.2021194 +[Abstract](177) +[HTML](78) +[PDF](199.34KB)
Bifurcation, uniqueness and multiplicity results for classes of reaction diffusion equations arising in ecology with nonlinear boundary conditions
Mohan Mallick, Sarath Sasi, R. Shivaji and S. Sundar
2022, 21(2) : 705-726 doi: 10.3934/cpaa.2021195 +[Abstract](251) +[HTML](61) +[PDF](317.11KB)
Necessary and sufficient conditions on weighted multilinear fractional integral inequality
Yongliang Zhou, Yangkendi Deng, Di Wu and Dunyan Yan
2022, 21(2) : 727-747 doi: 10.3934/cpaa.2021196 +[Abstract](141) +[HTML](54) +[PDF](177.35KB)
Uniqueness and sign properties of minimizers in a quasilinear indefinite problem
Uriel Kaufmann, Humberto Ramos Quoirin and Kenichiro Umezu
2021doi: 10.3934/10.3934/cpaa.2021078 +[Abstract](620) +[HTML](334) +[PDF](319.8KB)
On the attractor for a semilinear wave equation with variable coefficients and nonlinear boundary dissipation
Jiacheng Wang and Peng-Fei Yao
2021doi: 10.3934/cpaa.2021043 +[Abstract](767) +[HTML](372) +[PDF](317.63KB)
Stabilized finite element methods based on multiscale enrichment for Allen-Cahn and Cahn-Hilliard equations
Juan Wen, Yaling He, Yinnian He and Kun Wang
2021doi: 10.3934/cpaa.2021074 +[Abstract](712) +[HTML](320) +[PDF](3024.82KB)
On the even solutions of the Toda system: a degree argument approach
Yong Liu, Jing Tian and Xuelin Yong
2021doi: 10.3934/cpaa.2021075 +[Abstract](582) +[HTML](320) +[PDF](782.03KB)
Hadamard Semidifferential, Oriented Distance Function, and some Applications
Michel C. Delfour
2021doi: 10.3934/cpaa.2021076 +[Abstract](729) +[HTML](322) +[PDF](482.37KB)
Analysis of COVID-19 epidemic transmission trend based on a time-delayed dynamic model
Tailei Zhang and Zhimin Li
2021doi: 10.3934/cpaa.2021088 +[Abstract](700) +[HTML](418) +[PDF](468.47KB)
Data-driven optimal control of a seir model for COVID-19
Hailiang Liu and Xuping Tian
2021doi: 10.3934/cpaa.2021093 +[Abstract](745) +[HTML](321) +[PDF](1372.32KB)
A linear, decoupled and positivity-preserving numerical scheme for an epidemic model with advection and diffusion
Jisheng Kou, Huangxin Chen, Xiuhua Wang and Shuyu Sun
2021doi: 10.3934/cpaa.2021094 +[Abstract](594) +[HTML](408) +[PDF](1366.37KB)
Ground state solutions for the fractional problems with dipole-type potential and critical exponent
Yu Su and Zhaosheng Feng
2021doi: 10.3934/cpaa.2021111 +[Abstract](495) +[HTML](269) +[PDF](326.3KB)
An indirect BIE free of degenerate scales
Jeng-Tzong Chen, Shing-Kai Kao, Jeng-Hong Kao and Wei-Chen Tai
2021doi: 10.3934/cpaa.2021114 +[Abstract](482) +[HTML](222) +[PDF](1662.62KB)
Dynamics of solitary waves and periodic waves for a generalized KP-MEW-Burgers equation with damping
Zengji Du, Xiaojie Lin and Yulin Ren
2021doi: 10.3934/cpaa.2021118 +[Abstract](404) +[HTML](273) +[PDF](354.38KB)
Semi-discrete and fully discrete HDG methods for Burgers' equation
Zimo Zhu, Gang Chen and Xiaoping Xie
2021doi: 10.3934/cpaa.2021132 +[Abstract](491) +[HTML](264) +[PDF](488.08KB)
Spreading speed and periodic traveling waves of a time periodic and diffusive SI epidemic model with demographic structure
Shuang-Ming Wang, Zhaosheng Feng, Zhi-Cheng Wang and Liang Zhang
2021doi: 10.3934/cpaa.2021145 +[Abstract](487) +[HTML](251) +[PDF](502.96KB)
Dynamical analysis in disease transmission and final epidemic size
Daifeng Duan, Cuiping Wang and Yuan Yuan
2021doi: 10.3934/cpaa.2021150 +[Abstract](375) +[HTML](175) +[PDF](961.2KB)
Spatial dynamic analysis for COVID-19 epidemic model with diffusion and Beddington-DeAngelis type incidence
Tao Zheng, Yantao Luo, Xinran Zhou, Long Zhang and Zhidong Teng
2021doi: 10.3934/cpaa.2021154 +[Abstract](490) +[HTML](202) +[PDF](1057.49KB)
Transmission dynamics and high infectiousness of Coronavirus Disease 2019
Shunxiang Huang, Lin Wu, Jing Li, Ming-Zhen Xin, Yingying Wang, Xingjie Hao, Zhongyi Wang, Qihong Deng and Bin-Guo Wang
2021doi: 10.3934/cpaa.2021155 +[Abstract](384) +[HTML](182) +[PDF](1835.77KB)
Controllability and stabilization of gravity-capillary surface water waves in a basin
Jing Cui, Guangyue Gao and Shu-Ming Sun
2021doi: 10.3934/cpaa.2021158 +[Abstract](323) +[HTML](172) +[PDF](472.33KB)
Basic reproduction number estimation and forecasting of COVID-19: A case study of India, Brazil and Peru
Nitu Kumari, Sumit Kumar, Sandeep Sharma, Fateh Singh and Rana Parshad
2021doi: 10.3934/cpaa.2021170 +[Abstract](301) +[HTML](247) +[PDF](2334.82KB)
Time analyticity of the biharmonic heat equation, the heat equation with potentials and some nonlinear heat equations
Chulan Zeng
2021doi: 10.3934/cpaa.2021197 +[Abstract](137) +[HTML](77) +[PDF](273.85KB)
A flow method for a generalization of $ L_{p} $ Christofell-Minkowski problem
Boya Li, Hongjie Ju and Yannan Liu
2021doi: 10.3934/cpaa.2021198 +[Abstract](149) +[HTML](65) +[PDF](142.06KB)
Asymptotic and quenching behaviors of semilinear parabolic systems with singular nonlinearities
Qi Wang and Yanyan Zhang
2021doi: 10.3934/cpaa.2021199 +[Abstract](156) +[HTML](60) +[PDF](218.45KB)
On regularity and stability for a class of nonlocal evolution equations with nonlinear perturbations
Dinh-Ke Tran and Nhu-Thang Nguyen
2021doi: 10.3934/cpaa.2021200 +[Abstract](252) +[HTML](64) +[PDF](169.47KB)
Radial symmetry of nonnegative solutions for nonlinear integral systems
Zhenjie Li and Chunqin Zhou
2021doi: 10.3934/cpaa.2021201 +[Abstract](154) +[HTML](56) +[PDF](118.6KB)
Analysis of Brinkman-Forchheimer extended Darcy's model in a fluid saturated anisotropic porous channel
Timir Karmakar, Meraj Alam and G. P. Raja Sekhar
2021doi: 10.3934/cpaa.2022001 +[Abstract](142) +[HTML](41) +[PDF](874.91KB)
Improved Hardy-Rellich inequalities
Biagio Cassano, Lucrezia Cossetti and Luca Fanelli
2021doi: 10.3934/cpaa.2022002 +[Abstract](102) +[HTML](57) +[PDF](227.77KB)
Self-similar blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension
Razvan Gabriel Iagar, Ana Isabel Muñoz and Ariel Sánchez
2021doi: 10.3934/cpaa.2022003 +[Abstract](108) +[HTML](45) +[PDF](524.1KB)
Global generalized solutions of a haptotaxis model describing cancer cells invasion and metastatic spread
Meng Liu and Yuxiang Li
2021doi: 10.3934/cpaa.2022004 +[Abstract](65) +[HTML](27) +[PDF](177.39KB)
Inertial manifolds for parabolic differential equations: The fully nonautonomous case
Nguyen Thieu Huy, Pham Truong Xuan, Vu Thi Ngoc Ha and Vu Thi Thuy Ha
2021doi: 10.3934/cpaa.2022005 +[Abstract](112) +[HTML](31) +[PDF](167.32KB)
Global regularity estimates for Neumann problems of elliptic operators with coefficients having a BMO anti-symmetric part in NTA domains
Sibei Yang, Dachun Yang and Wenxian Ma
2021doi: 10.3934/cpaa.2022006 +[Abstract](87) +[HTML](37) +[PDF](323.97KB)
Asymptotics for some discretizations of dynamical systems, application to second order systems with non-local nonlinearities
Thierry Horsin and Mohamed Ali Jendoubi
2021doi: 10.3934/cpaa.2022007 +[Abstract](85) +[HTML](34) +[PDF](1086.02KB)
Monotonicity and symmetry of positive solutions to degenerate quasilinear elliptic systems in half-spaces and strips
Phuong Le and Hoang-Hung Vo
2021doi: 10.3934/cpaa.2022008 +[Abstract](167) +[HTML](32) +[PDF](202.95KB)
Higher P-symmetric Ekeland-Hofer capacities
Kun Shi and Guangcun Lu
2021doi: 10.3934/cpaa.2022009 +[Abstract](70) +[HTML](23) +[PDF](231.91KB)
Existence of solutions for a class of quasilinear Schrödinger equation with a Kirchhoff-type
Die Hu, Xianhua Tang and Qi Zhang
2021doi: 10.3934/cpaa.2022010 +[Abstract](67) +[HTML](27) +[PDF](220.95KB)
Uniform approximation property of frames with applications to erasure recovery
Ting Chen, Fusheng Lv and Wenchang Sun
2021doi: 10.3934/cpaa.2022011 +[Abstract](72) +[HTML](26) +[PDF](158.05KB)
Asymptotic analysis for the electric field concentration with geometry of the core-shell structure
Zhiwen Zhao
2021doi: 10.3934/cpaa.2022012 +[Abstract](82) +[HTML](24) +[PDF](323.42KB)
Analysis and asymptotic reduction of a bulk-surface reaction-diffusion model of Gierer-Meinhardt type
Jan-Phillip Bäcker and Matthias Röger
2021doi: 10.3934/cpaa.2022013 +[Abstract](76) +[HTML](34) +[PDF](182.35KB)
Concentration of bound states for fractional Schrödinger-Poisson system via penalization methods
Kaimin Teng and Xian Wu
2021doi: 10.3934/cpaa.2022014 +[Abstract](66) +[HTML](28) +[PDF](258.77KB)
On deterministic solutions for multi-marginal optimal transport with Coulomb cost
Ugo Bindini, Luigi De Pascale and Anna Kausamo
2021doi: 10.3934/cpaa.2022015 +[Abstract](58) +[HTML](32) +[PDF](244.56KB)
On Asymptotic Properties of Semi-relativistic Hartree Equation with combined Hartree-type nonlinearities
Qingxuan Wang, Binhua Feng, Yuan Li and Qihong Shi
2021doi: 10.3934/cpaa.2022017 +[Abstract](69) +[HTML](37) +[PDF](220.96KB)
On spectral gaps of growth-fragmentation semigroups with mass loss or death
Mustapha Mokhtar-Kharroubi
2022doi: 10.3934/cpaa.2022019 +[Abstract](9) +[HTML](5) +[PDF](260.07KB)
On the critical Schrödinger-Poisson system with $ p $-Laplacian
Yao Du, Jiabao Su and Cong Wang
2022doi: 10.3934/cpaa.2022020 +[Abstract](20) +[HTML](7) +[PDF](174.44KB)
The duality method for mean field games systems
Lucio Boccardo and Luigi Orsina
2022doi: 10.3934/cpaa.2022021 +[Abstract](9) +[HTML](5) +[PDF](186.96KB)
Periodic solution and extinction in a periodic chemostat model with delay in microorganism growth
Ningning Ye, Zengyun Hu and Zhidong Teng
2022doi: 10.3934/cpaa.2022022 +[Abstract](12) +[HTML](5) +[PDF](455.18KB)
Schauder type estimates for degenerate Kolmogorov equations with Dini continuous coefficients
Sergio Polidoro, Annalaura Rebucci and Bianca Stroffolini
2022doi: 10.3934/cpaa.2022023 +[Abstract](72) +[HTML](40) +[PDF](275.93KB)
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](6087) +[PDF](826.7KB) Cited By(107)
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](3924) +[PDF](225.5KB) Cited By(106)
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](4132) +[HTML](244) +[PDF](373.99KB) Cited By(102)
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](5578) +[PDF](509.5KB) Cited By(93)
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](5280) +[PDF](181.7KB) Cited By(90)
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](3154) +[PDF](130.3KB) Cited By(79)
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](5208) +[PDF](1276.3KB) Cited By(72)
Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
Juncheng Wei and Wei Yao
2012, 11(3) : 1003-1011 doi: 10.3934/cpaa.2012.11.1003 +[Abstract](3844) +[PDF](366.4KB) 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](4429) +[PDF](102.3KB) Cited By(69)
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](4361) +[PDF](395.6KB) Cited By(69)
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](4981) +[PDF](486.1KB) PDF Downloads(914)
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](2732) +[HTML](89) +[PDF](419.64KB) PDF Downloads(895)
Mean value properties and unique continuation
José G. Llorente
2015, 14(1) : 185-199 doi: 10.3934/cpaa.2015.14.185 +[Abstract](3155) +[PDF](427.4KB) PDF Downloads(818)
The Landau-de Gennes theory of nematic liquid crystals: Uniaxiality versus Biaxiality
Apala Majumdar
2012, 11(3) : 1303-1337 doi: 10.3934/cpaa.2012.11.1303 +[Abstract](3410) +[PDF](596.9KB) PDF Downloads(740)
Global existence and blow-up of solutions to a semilinear heat equation with singular potential and logarithmic nonlinearity
Xiumei Deng and Jun Zhou
2020, 19(2) : 923-939 doi: 10.3934/cpaa.2020042 +[Abstract](2957) +[HTML](112) +[PDF](356.11KB) PDF Downloads(610)
W1, p-estimates for elliptic equations with lower order terms
Byungsoo Kang and Hyunseok Kim
2017, 16(3) : 799-822 doi: 10.3934/cpaa.2017038 +[Abstract](3017) +[HTML](134) +[PDF](491.2KB) PDF Downloads(577)
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](1536) +[HTML](89) +[PDF](414.25KB) PDF Downloads(539)
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](2040) +[HTML](170) +[PDF](356.02KB) PDF Downloads(530)
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](4959) +[HTML](375) +[PDF](342.33KB) PDF Downloads(527)
Kirchhoff type equations with strong singularities
Yijing Sun and Yuxin Tan
2019, 18(1) : 181-193 doi: 10.3934/cpaa.2019010 +[Abstract](4600) +[HTML](218) +[PDF](342.2KB) PDF Downloads(517)

2020 Impact Factor: 1.916
5 Year Impact Factor: 1.510
2020 CiteScore: 1.9

Editors

Referees

Librarians

Special Issues

Email Alert

[Back to Top]