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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](360) +[HTML](114) +[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](358) +[HTML](83) +[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](350) +[HTML](91) +[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](256) +[HTML](82) +[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](270) +[HTML](77) +[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](158) +[HTML](39) +[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](159) +[HTML](49) +[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](203) +[HTML](44) +[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](146) +[HTML](49) +[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](151) +[HTML](38) +[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](250) +[HTML](47) +[PDF](375.86KB)
Liouville type theorem for Fractional Laplacian system
Xinjing Wang
2020, 19(11) : 5253-5268 doi: 10.3934/cpaa.2020236 +[Abstract](208) +[HTML](42) +[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](154) +[HTML](47) +[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](157) +[HTML](48) +[PDF](350.74KB)
Blow-up results for effectively damped wave models with nonlinear memory
Tayeb Hadj Kaddour and Michael Reissig
2020doi: 10.3934/cpaa.2020239 +[Abstract](189) +[HTML](70) +[PDF](338.09KB)
Large deviation theorems for Dirichlet determinants of analytic quasi-periodic Jacobi operators with Brjuno-Rüssmann frequency
Wenmeng Geng and Kai Tao
2020doi: 10.3934/cpaa.2020240 +[Abstract](131) +[HTML](71) +[PDF](470.98KB)
Approximations of stochastic 3D tamed Navier-Stokes equations
Xuhui Peng and Rangrang Zhang
2020doi: 10.3934/cpaa.2020241 +[Abstract](122) +[HTML](59) +[PDF](402.0KB)
Limiting behavior of non-autonomous stochastic reaction-diffusion equations with colored noise on unbounded thin domains
Lin Shi, Xuemin Wang and Dingshi Li
2020doi: 10.3934/cpaa.2020242 +[Abstract](152) +[HTML](58) +[PDF](396.37KB)
A global existence result for two-dimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain
Ahmad Z. Fino and Wenhui Chen
2020doi: 10.3934/cpaa.2020243 +[Abstract](146) +[HTML](66) +[PDF](364.88KB)
Remark on 3-D Navier-Stokes system with strong dissipation in one direction
Yanlin Liu and Ping Zhang
2020doi: 10.3934/cpaa.2020244 +[Abstract](141) +[HTML](63) +[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](169) +[HTML](76) +[PDF](367.37KB)
Classification of solutions to a system of $ n^{\rm th} $ order equations on $ \mathbb R^n $
Mathew Gluck
2020doi: 10.3934/cpaa.2020246 +[Abstract](30) +[HTML](18) +[PDF](404.96KB)
Low regularity a priori estimates for the fourth order cubic nonlinear Schrödinger equation
Kihoon Seong
2020doi: 10.3934/cpaa.2020247 +[Abstract](23) +[HTML](18) +[PDF](484.91KB)
Weak well-posedness of hyperbolic boundary value problems in a strip: When instabilities do not reflect the geometry
Antoine Benoit
2020doi: 10.3934/cpaa.2020248 +[Abstract](40) +[HTML](22) +[PDF](342.44KB)
Parabolic equations involving laguerre operators and weighted mixed-norm estimates
Huiying Fan and Tao Ma
2020doi: 10.3934/cpaa.2020249 +[Abstract](52) +[HTML](20) +[PDF](368.07KB)
A truncated real interpolation method and characterizations of screened Sobolev spaces
Noah Stevenson and Ian Tice
2020doi: 10.3934/cpaa.2020250 +[Abstract](54) +[HTML](20) +[PDF](666.47KB)
Mathematical analysis of bump to bucket problem
Min Chen, Olivier Goubet and Shenghao Li
2020doi: 10.3934/cpaa.2020251 +[Abstract](41) +[HTML](26) +[PDF](305.85KB)
Lifespan of solutions to a fourth order parabolic PDE involving the Hessian modeling epitaxial growth
Jun Zhou
2020doi: 10.3934/cpaa.2020252 +[Abstract](53) +[HTML](22) +[PDF](296.7KB)
Solutions of nonlocal problem with critical exponent
Qingfang Wang and Hua Yang
2020doi: 10.3934/cpaa.2020253 +[Abstract](56) +[HTML](25) +[PDF](365.85KB)
On principal eigenvalues of biharmonic systems
Lingju Kong and Roger Nichols
2020doi: 10.3934/cpaa.2020254 +[Abstract](67) +[HTML](21) +[PDF](324.05KB)
A note on Riemann-Liouville fractional Sobolev spaces
Alessandro Carbotti and Giovanni E. Comi
2020doi: 10.3934/cpaa.2020255 +[Abstract](64) +[HTML](35) +[PDF](491.77KB)
On competition models under allee effect: Asymptotic behavior and traveling waves
Wei Feng, Michael Freeze and Xin Lu
2020doi: 10.3934/cpaa.2020256 +[Abstract](14) +[HTML](9) +[PDF](923.82KB)
Limit cycle bifurcations in a class of piecewise smooth cubic systems with multiple parameters
Meilan Cai and Maoan Han
2020doi: 10.3934/cpaa.2020257 +[Abstract](15) +[HTML](10) +[PDF](502.12KB)
Scattering of the focusing energy-critical NLS with inverse square potential in the radial case
Kai Yang
2020doi: 10.3934/cpaa.2020258 +[Abstract](9) +[HTML](7) +[PDF](417.87KB)
Blow-up solutions and strong instability of ground states for the inhomogeneous nonlinear Schrödinger equation
Alex H. Ardila and Mykael Cardoso
2020doi: 10.3934/cpaa.2020259 +[Abstract](10) +[HTML](9) +[PDF](362.66KB)
Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inverse-power potential
Noriyoshi Fukaya
2020doi: 10.3934/cpaa.2020260 +[Abstract](11) +[HTML](7) +[PDF](389.16KB)
A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle
Gloria Paoli, Gianpaolo Piscitelli and Rossanno Sannipoli
2020doi: 10.3934/cpaa.2020261 +[Abstract](9) +[HTML](8) +[PDF](321.78KB)
Bubbling solutions for the Liouville equation around a quantized singularity in symmetric domains
Teresa D'Aprile
2020doi: 10.3934/cpaa.2020262 +[Abstract](15) +[HTML](9) +[PDF](446.08KB)
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](4582) +[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](4175) +[PDF](509.5KB) Cited By(90)
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](2623) +[PDF](225.5KB) 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](2296) +[HTML](225) +[PDF](373.99KB) Cited By(87)
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](3659) +[PDF](181.7KB) Cited By(87)
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](3321) +[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](3832) +[PDF](1276.3KB) Cited By(66)
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](3142) +[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](2037) +[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](42385) +[HTML](392) +[PDF](546.2KB) Cited By(56)
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](3307) +[PDF](486.1KB) PDF Downloads(366)
Kirchhoff type equations with strong singularities
Yijing Sun and Yuxin Tan
2019, 18(1) : 181-193 doi: 10.3934/cpaa.2019010 +[Abstract](3592) +[HTML](196) +[PDF](342.2KB) PDF Downloads(318)
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](3742) +[HTML](352) +[PDF](342.33KB) PDF Downloads(312)
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](1741) +[HTML](259) +[PDF](460.49KB) PDF Downloads(299)
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](4115) +[HTML](215) +[PDF](328.43KB) PDF Downloads(293)
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](5231) +[HTML](495) +[PDF](462.14KB) PDF Downloads(290)
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](4586) +[HTML](254) +[PDF](367.7KB) PDF Downloads(274)
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](3878) +[HTML](318) +[PDF](382.99KB) PDF Downloads(261)
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](4331) +[HTML](307) +[PDF](490.86KB) PDF Downloads(259)
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](793) +[HTML](104) +[PDF](1125.72KB) PDF Downloads(247)

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