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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.

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

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Non-linear bi-harmonic Choquard equations
Tarek Saanouni
2020, 19(11) : 5033-5057 doi: 10.3934/cpaa.2020221 +[Abstract](291) +[HTML](112) +[PDF](414.36KB)
Quasilinear nonlocal elliptic problems with variable singular exponent
Prashanta Garain and Tuhina Mukherjee
2020, 19(11) : 5059-5075 doi: 10.3934/cpaa.2020226 +[Abstract](289) +[HTML](81) +[PDF](402.08KB)
Existence and concentration of nodal solutions for a subcritical p&q equation
Gustavo S. Costa and Giovany M. Figueiredo
2020, 19(11) : 5077-5095 doi: 10.3934/cpaa.2020227 +[Abstract](258) +[HTML](88) +[PDF](395.25KB)
A new family of boundary-domain integral equations for the diffusion equation with variable coefficient in unbounded domains
Carlos Fresneda-Portillo
2020, 19(11) : 5097-5114 doi: 10.3934/cpaa.2020228 +[Abstract](200) +[HTML](77) +[PDF](364.4KB)
Normalized solutions for 3-coupled nonlinear Schrödinger equations
Chuangye Liu and Rushun Tian
2020, 19(11) : 5115-5130 doi: 10.3934/cpaa.2020229 +[Abstract](200) +[HTML](75) +[PDF](384.93KB)
Uniform stabilization of the Klein-Gordon system
Marcelo M. Cavalcanti, Leonel G. Delatorre, Daiane C. Soares, Victor Hugo Gonzalez Martinez and Janaina P. Zanchetta
2020, 19(11) : 5131-5156 doi: 10.3934/cpaa.2020230 +[Abstract](101) +[HTML](37) +[PDF](677.03KB)
Quasi-periodic solutions for the two-dimensional systems with an elliptic-type degenerate equilibrium point under small perturbations
Jinjing Jiao and Guanghua Shi
2020, 19(11) : 5157-5180 doi: 10.3934/cpaa.2020231 +[Abstract](105) +[HTML](47) +[PDF](405.61KB)
A non-autonomous bifurcation problem for a non-local scalar one-dimensional parabolic equation
Yanan Li, Alexandre N. Carvalho, Tito L. M. Luna and Estefani M. Moreira
2020, 19(11) : 5181-5196 doi: 10.3934/cpaa.2020232 +[Abstract](145) +[HTML](41) +[PDF](367.61KB)
On the inelastic Boltzmann equation for soft potentials with diffusion
Fei Meng and Fang Liu
2020, 19(11) : 5197-5217 doi: 10.3934/cpaa.2020233 +[Abstract](89) +[HTML](41) +[PDF](358.55KB)
On the Cauchy problem of 3D nonhomogeneous incompressible nematic liquid crystal flows with vacuum
Yang Liu and Xin Zhong
2020, 19(11) : 5219-5238 doi: 10.3934/cpaa.2020234 +[Abstract](93) +[HTML](35) +[PDF](367.96KB)
Ground state radial sign-changing solutions for a gauged nonlinear Schrödinger equation involving critical growth
Jincai Kang and Chunlei Tang
2020, 19(11) : 5239-5252 doi: 10.3934/cpaa.2020235 +[Abstract](174) +[HTML](39) +[PDF](375.86KB)
Liouville type theorem for Fractional Laplacian system
Xinjing Wang
2020, 19(11) : 5253-5268 doi: 10.3934/cpaa.2020236 +[Abstract](128) +[HTML](38) +[PDF](327.12KB)
Monotonicity of solutions for a class of nonlocal Monge-Ampère problem
Yahui Niu
2020, 19(11) : 5269-5283 doi: 10.3934/cpaa.2020237 +[Abstract](98) +[HTML](37) +[PDF](325.32KB)
On the symmetry and monotonicity of Morrey extremals
Ryan Hynd and Francis Seuffert
2020, 19(11) : 5285-5303 doi: 10.3934/cpaa.2020238 +[Abstract](99) +[HTML](45) +[PDF](350.74KB)
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](4514) +[PDF](826.7KB) 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](4103) +[PDF](509.5KB) Cited By(90)
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](3562) +[PDF](181.7KB) Cited By(87)
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](2219) +[HTML](224) +[PDF](373.99KB) Cited By(86)
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](3278) +[PDF](102.3KB) Cited By(67)
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](3787) +[PDF](1276.3KB) Cited By(65)
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](3102) +[PDF](395.6KB) Cited By(64)
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](1993) +[PDF](130.3KB) Cited By(56)
Initial-boundary value problems for the coupled modified Korteweg-de Vries equation on the interval
Shou-Fu Tian
2018, 17(3) : 923-957 doi: 10.3934/cpaa.2018046 +[Abstract](42313) +[HTML](391) +[PDF](546.2KB) Cited By(56)
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](2467) +[PDF](274.6KB) Cited By(52)
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](3241) +[PDF](486.1KB) PDF Downloads(348)
Kirchhoff type equations with strong singularities
Yijing Sun and Yuxin Tan
2019, 18(1) : 181-193 doi: 10.3934/cpaa.2019010 +[Abstract](3535) +[HTML](195) +[PDF](342.2KB) PDF Downloads(310)
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](3676) +[HTML](352) +[PDF](342.33KB) PDF Downloads(304)
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](1696) +[HTML](258) +[PDF](460.49KB) PDF Downloads(296)
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](5187) +[HTML](493) +[PDF](462.14KB) PDF Downloads(286)
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](4060) +[HTML](214) +[PDF](328.43KB) PDF Downloads(284)
Existence and a general decay results for a viscoelastic plate equation with a logarithmic nonlinearity
Mohammad M. Al-Gharabli, Aissa Guesmia and Salim A. Messaoudi
2019, 18(1) : 159-180 doi: 10.3934/cpaa.2019009 +[Abstract](4508) +[HTML](252) +[PDF](367.7KB) PDF Downloads(273)
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](3817) +[HTML](316) +[PDF](382.99KB) PDF Downloads(256)
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](4283) +[HTML](305) +[PDF](490.86KB) PDF Downloads(256)
A stochastic threshold for an epidemic model with isolation and a non linear incidence
Tomás Caraballo, Mohamed El Fatini, Idriss Sekkak, Regragui Taki and Aziz Laaribi
2020, 19(5) : 2513-2531 doi: 10.3934/cpaa.2020110 +[Abstract](744) +[HTML](104) +[PDF](1125.72KB) PDF Downloads(242)

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