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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.

  • AIMS is a member of COPE. All AIMS journals adhere to the publication ethics and malpractice policies outlined by COPE.
  • Publishes 6 issues a year in January, March, May, July, September and November.
  • Publishes both online and in print.
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  • CPAA is issued jointly by the American Institute of Mathematical Sciences and Shanghai Jiao Tong University. All rights reserved.

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Variable lorentz estimate for stationary stokes system with partially BMO coefficients
Shuang Liang and Shenzhou Zheng
2019, 18(6) : 2879-2903 doi: 10.3934/cpaa.2019129 +[Abstract](56) +[HTML](24) +[PDF](427.21KB)
On the decay rates for a one-dimensional porous elasticity system with past history
Baowei Feng
2019, 18(6) : 2905-2921 doi: 10.3934/cpaa.2019130 +[Abstract](69) +[HTML](35) +[PDF](346.22KB)
Comparison results for unbounded solutions for a parabolic Cauchy-Dirichlet problem with superlinear gradient growth
Tommaso Leonori and Martina Magliocca
2019, 18(6) : 2923-2960 doi: 10.3934/cpaa.2019131 +[Abstract](41) +[HTML](32) +[PDF](466.89KB)
The exponential behavior of a stochastic Cahn-Hilliard-Navier-Stokes model with multiplicative noise
T. Tachim Medjo
2019, 18(6) : 2961-2982 doi: 10.3934/cpaa.2019132 +[Abstract](45) +[HTML](30) +[PDF](353.62KB)
Asymptotic spreading for a time-periodic predator-prey system
Xinjian Wang and Guo Lin
2019, 18(6) : 2983-2999 doi: 10.3934/cpaa.2019133 +[Abstract](69) +[HTML](25) +[PDF](355.45KB)
$ L^{p, q} $ estimates on the transport density
Samer Dweik
2019, 18(6) : 3001-3009 doi: 10.3934/cpaa.2019134 +[Abstract](44) +[HTML](27) +[PDF](304.68KB)
When fast diffusion and reactive growth both induce accelerating invasions
Matthieu Alfaro and Thomas Giletti
2019, 18(6) : 3011-3034 doi: 10.3934/cpaa.2019135 +[Abstract](49) +[HTML](22) +[PDF](402.88KB)
Asymptotic behavior of solutions to incompressible electron inertial Hall-MHD system in $ \mathbb{R}^3 $
Ning Duan, Yasuhide Fukumoto and Xiaopeng Zhao
2019, 18(6) : 3035-3057 doi: 10.3934/cpaa.2019136 +[Abstract](46) +[HTML](38) +[PDF](401.37KB)
Analysis of Boundary-Domain Integral Equations to the mixed BVP for a compressible stokes system with variable viscosity
Carlos Fresneda-Portillo and Sergey E. Mikhailov
2019, 18(6) : 3059-3088 doi: 10.3934/cpaa.2019137 +[Abstract](51) +[HTML](31) +[PDF](514.93KB)
On a class of linearly coupled systems on $ \mathbb{R}^N $ involving asymptotically linear terms
Edcarlos D. Silva, José Carlos de Albuquerque and Uberlandio Severo
2019, 18(6) : 3089-3101 doi: 10.3934/cpaa.2019138 +[Abstract](60) +[HTML](24) +[PDF](350.62KB)
Molecular decomposition and a class of Fourier multipliers for bi-parameter modulation spaces
Qing Hong and Guorong Hu
2019, 18(6) : 3103-3120 doi: 10.3934/cpaa.2019139 +[Abstract](41) +[HTML](43) +[PDF](480.41KB)
Invariant measure of stochastic fractional Burgers equation with degenerate noise on a bounded interval
Yan Wang and Guanggan Chen
2019, 18(6) : 3121-3135 doi: 10.3934/cpaa.2019140 +[Abstract](66) +[HTML](27) +[PDF](363.48KB)
Pointwise gradient estimates for subquadratic elliptic systems with discontinuous coefficients
Feng Zhou and Zhenqiu Zhang
2019, 18(6) : 3137-3160 doi: 10.3934/cpaa.2019141 +[Abstract](55) +[HTML](40) +[PDF](416.27KB)
Time discretization of a nonlinear phase field system in general domains
Pierluigi Colli and Shunsuke Kurima
2019, 18(6) : 3161-3179 doi: 10.3934/cpaa.2019142 +[Abstract](45) +[HTML](28) +[PDF](384.73KB)
Ground states for asymptotically periodic fractional Kirchhoff equation with critical Sobolev exponent
Guangze Gu, Xianhua Tang and Youpei Zhang
2019, 18(6) : 3181-3200 doi: 10.3934/cpaa.2019143 +[Abstract](76) +[HTML](32) +[PDF](401.37KB)
Existence theorem for a class of semilinear totally characteristic elliptic equations involving supercritical cone sobolev exponents
Zhihua Huang and Xiaochun Liu
2019, 18(6) : 3201-3216 doi: 10.3934/cpaa.2019144 +[Abstract](46) +[HTML](25) +[PDF](362.46KB)
The effect of nonlocal term on the superlinear elliptic equations in $ \mathbb{R}^{N} $
Juntao Sun and Tsung-fang Wu
2019, 18(6) : 3217-3242 doi: 10.3934/cpaa.2019145 +[Abstract](61) +[HTML](28) +[PDF](429.34KB)
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](50) +[HTML](23) +[PDF](407.02KB)
Global bifurcation and exact multiplicity of positive solutions for the one-dimensional Minkowski-curvature problem with sign-changing nonlinearity
Shao-Yuan Huang
2019, 18(6) : 3267-3284 doi: 10.3934/cpaa.2019147 +[Abstract](53) +[HTML](39) +[PDF](421.45KB)
The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line
Türker Özsarı and Nermin Yolcu
2019, 18(6) : 3285-3316 doi: 10.3934/cpaa.2019148 +[Abstract](91) +[HTML](29) +[PDF](461.09KB)
The regularity of a degenerate Goursat problem for the 2-D isothermal Euler equations
Yanbo Hu and Tong Li
2019, 18(6) : 3317-3336 doi: 10.3934/cpaa.2019149 +[Abstract](51) +[HTML](27) +[PDF](384.07KB)
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](60) +[HTML](27) +[PDF](373.99KB)
A note on multiplicity of solutions near resonance of semilinear elliptic equations
Jinlong Bai, Desheng Li and Chunqiu Li
2019, 18(6) : 3351-3365 doi: 10.3934/cpaa.2019151 +[Abstract](122) +[HTML](29) +[PDF](1494.37KB)
Existence results of solitary wave solutions for a delayed Camassa-Holm-KP equation
Xiaowan Li, Zengji Du and Shuguan Ji
2019, 18(6) : 3367-3387 doi: 10.3934/cpaa.2019152 +[Abstract](51) +[HTML](66) +[PDF](388.19KB)
Stability of solutions to the Riemann problem for a thin film model of a perfectly soluble anti-surfactant solution
Minhajul, T. Raja Sekhar and G. P. Raja Sekhar
2019, 18(6) : 3389-3408 doi: 10.3934/cpaa.2019153 +[Abstract](54) +[HTML](32) +[PDF](1539.59KB)
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](2513) +[PDF](826.7KB) Cited By(58)
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](2220) +[PDF](509.5KB) Cited By(57)
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](1760) +[PDF](102.3KB) Cited By(57)
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](1800) +[PDF](181.7KB) Cited By(56)
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](1613) +[PDF](395.6KB) Cited By(46)
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](2095) +[PDF](1276.3KB) Cited By(42)
Global weak solutions for a viscous liquid-gas model with singular pressure law
Steinar Evje and Kenneth Hvistendahl Karlsen
2009, 8(6) : 1867-1894 doi: 10.3934/cpaa.2009.8.1867 +[Abstract](1723) +[PDF](318.8KB) Cited By(42)
A result on the existence of global attractors for semigroups of closed operators
V. Pata and Sergey Zelik
2007, 6(2) : 481-486 doi: 10.3934/cpaa.2007.6.481 +[Abstract](1576) +[PDF](113.6KB) Cited By(42)
Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent
Sergey Zelik
2004, 3(4) : 921-934 doi: 10.3934/cpaa.2004.3.921 +[Abstract](1812) +[PDF](176.4KB) Cited By(39)
Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights
M. Chuaqui, C. Cortázar, M. Elgueta and J. García-Melián
2004, 3(4) : 653-662 doi: 10.3934/cpaa.2004.3.653 +[Abstract](1680) +[PDF](152.5KB) Cited By(39)
Random attractors for stochastic parabolic equations with additive noise in weighted spaces
Xiaojun Li, Xiliang Li and Kening Lu
2018, 17(3) : 729-749 doi: 10.3934/cpaa.2018038 +[Abstract](2320) +[HTML](396) +[PDF](462.14KB) PDF Downloads(210)
The Nehari manifold for a fractional Laplacian equation involving critical nonlinearities
Qingfang Wang
2018, 17(6) : 2261-2281 doi: 10.3934/cpaa.2018108 +[Abstract](1975) +[HTML](149) +[PDF](409.64KB) PDF Downloads(154)
The properties of positive solutions to semilinear equations involving the fractional Laplacian
Rongrong Yang and Zhongxue Lü
2019, 18(3) : 1073-1089 doi: 10.3934/cpaa.2019052 +[Abstract](1130) +[HTML](209) +[PDF](382.99KB) PDF Downloads(144)
Multiplicity and concentration of positive solutions for fractional nonlinear Schrödinger equation
Xudong Shang and Jihui Zhang
2018, 17(6) : 2239-2259 doi: 10.3934/cpaa.2018107 +[Abstract](1752) +[HTML](149) +[PDF](391.77KB) PDF Downloads(138)
\begin{document}$\mathbb{R}^3$\end{document}" >Space-time decay estimates of solutions to liquid crystal system in $\mathbb{R}^3$
Xiaopeng Zhao
2019, 18(1) : 1-13 doi: 10.3934/cpaa.2019001 +[Abstract](1433) +[HTML](150) +[PDF](332.85KB) PDF Downloads(137)
Large time behavior of solutions of local and nonlocal nondegenerate Hamilton-Jacobi equations with Ornstein-Uhlenbeck operator
Thi Tuyen Nguyen
2019, 18(3) : 999-1021 doi: 10.3934/cpaa.2019049 +[Abstract](1155) +[HTML](192) +[PDF](411.33KB) PDF Downloads(134)
Symmetry and asymptotic behavior of ground state solutions for schrödinger systems with linear interaction
Zhitao Zhang and Haijun Luo
2018, 17(3) : 787-806 doi: 10.3934/cpaa.2018040 +[Abstract](2109) +[HTML](362) +[PDF](480.5KB) PDF Downloads(133)
\begin{document}$ \phi $\end{document}-Laplacian equations with mixed nonlinearities" >Homoclinic solutions of discrete $ \phi $-Laplacian equations with mixed nonlinearities
Genghong Lin and Zhan Zhou
2018, 17(5) : 1723-1747 doi: 10.3934/cpaa.2018082 +[Abstract](1764) +[HTML](232) +[PDF](490.86KB) PDF Downloads(130)
Existence results for linear evolution equations of parabolic type
Tôn Việt Tạ
2018, 17(3) : 751-785 doi: 10.3934/cpaa.2018039 +[Abstract](1917) +[HTML](377) +[PDF](504.53KB) PDF Downloads(125)
A loop type component in the non-negative solutions set of an indefinite elliptic problem
Humberto Ramos Quoirin and Kenichiro Umezu
2018, 17(3) : 1255-1269 doi: 10.3934/cpaa.2018060 +[Abstract](1844) +[HTML](341) +[PDF](417.1KB) PDF Downloads(124)

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