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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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Classification of singular sets of solutions to elliptic equations
Haiyun Deng, Hairong Liu and Long Tian
2020, 19(6) : 2949-2964 doi: 10.3934/cpaa.2020129 +[Abstract](45) +[HTML](28) +[PDF](475.84KB)
Stability of multi-peak symmetric stationary solutions for the Schnakenberg model with periodic heterogeneity
Yuta Ishii
2020, 19(6) : 2965-3031 doi: 10.3934/cpaa.2020130 +[Abstract](37) +[HTML](22) +[PDF](1587.4KB)
Real-variable characterizations of new anisotropic mixed-norm Hardy spaces
Long Huang, Jun Liu, Dachun Yang and Wen Yuan
2020, 19(6) : 3033-3082 doi: 10.3934/cpaa.2020132 +[Abstract](27) +[HTML](18) +[PDF](856.46KB)
A Lusin type result
Silvano Delladio
2020, 19(6) : 3083-3091 doi: 10.3934/cpaa.2020133 +[Abstract](34) +[HTML](21) +[PDF](374.29KB)
Finite time blow-up and global solutions for a nonlocal parabolic equation with Hartree type nonlinearity
Xiaoliang Li and Baiyu Liu
2020, 19(6) : 3093-3112 doi: 10.3934/cpaa.2020134 +[Abstract](82) +[HTML](29) +[PDF](479.38KB)
Global existence and decay of solutions for hard potentials to the fokker-planck-boltzmann equation without cut-off
Lvqiao Liu and Hao Wang
2020, 19(6) : 3113-3136 doi: 10.3934/cpaa.2020135 +[Abstract](39) +[HTML](25) +[PDF](488.72KB)
Regular measurable backward compact random attractor for $ g $-Navier-Stokes equation
Fuzhi Li, Dongmei Xu and Jiali Yu
2020, 19(6) : 3137-3157 doi: 10.3934/cpaa.2020136 +[Abstract](30) +[HTML](20) +[PDF](499.69KB)
Radial solutions for a class of Hénon type systems with partial interference with the spectrum
Eudes. M. Barboza, Olimpio H. Miyagaki, Fábio R. Pereira and Cláudia R. Santana
2020, 19(6) : 3159-3187 doi: 10.3934/cpaa.2020137 +[Abstract](44) +[HTML](17) +[PDF](595.17KB)
Stability problems in nonautonomous linear differential equations in infinite dimensions
Hildebrando M. Rodrigues, J. Solà-Morales and G. K. Nakassima
2020, 19(6) : 3189-3207 doi: 10.3934/cpaa.2020138 +[Abstract](37) +[HTML](18) +[PDF](1045.22KB)
Sharp Hardy-Leray inequality for three-dimensional solenoidal fields with axisymmetric swirl
Naoki Hamamoto and Futoshi Takahashi
2020, 19(6) : 3209-3222 doi: 10.3934/cpaa.2020139 +[Abstract](30) +[HTML](35) +[PDF](414.07KB)
Ricci curvature of conformal deformation on compact 2-manifolds
Yoon-Tae Jung, Soo-Young Lee and Eun-Hee Choi
2020, 19(6) : 3223-3231 doi: 10.3934/cpaa.2020140 +[Abstract](30) +[HTML](27) +[PDF](314.26KB)
Blowup of solutions to the thermal boundary layer problem in two-dimensional incompressible heat conducting flow
Yaguang Wang and Shiyong Zhu
2020, 19(6) : 3233-3244 doi: 10.3934/cpaa.2020141 +[Abstract](33) +[HTML](20) +[PDF](375.71KB)
Some global dynamics of a Lotka-Volterra competition-diffusion-advection system
Qi Wang
2020, 19(6) : 3245-3255 doi: 10.3934/cpaa.2020142 +[Abstract](33) +[HTML](17) +[PDF](361.96KB)
Stable periodic solutions for Nazarenko's equation
Szandra Beretka and Gabriella Vas
2020, 19(6) : 3257-3281 doi: 10.3934/cpaa.2020144 +[Abstract](27) +[HTML](22) +[PDF](507.28KB)
Disconjugacy conditions and spectrum structure of clamped beam equations with two parameters
Yanqiong Lu and Ruyun Ma
2020, 19(6) : 3283-3302 doi: 10.3934/cpaa.2020145 +[Abstract](31) +[HTML](24) +[PDF](416.23KB)
Almost optimal local well-posedness for the Maxwell-Klein-Gordon system with data in Fourier-Lebesgue spaces
Hartmut Pecher
2020, 19(6) : 3303-3321 doi: 10.3934/cpaa.2020146 +[Abstract](32) +[HTML](24) +[PDF](476.87KB)
Asymptotic profiles of steady states for a diffusive SIS epidemic model with spontaneous infection and a logistic source
Siyao Zhu and Jinliang Wang
2020, 19(6) : 3323-3340 doi: 10.3934/cpaa.2020147 +[Abstract](37) +[HTML](16) +[PDF](411.59KB)
On the Sobolev embedding properties for compact matrix quantum groups of Kac type
Sang-Gyun Youn
2020, 19(6) : 3341-3366 doi: 10.3934/cpaa.2020148 +[Abstract](35) +[HTML](25) +[PDF](600.57KB)
The probabilistic Cauchy problem for the fourth order Schrödinger equation with special derivative nonlinearities
Shuai Zhang and Shaopeng Xu
2020, 19(6) : 3367-3385 doi: 10.3934/cpaa.2020149 +[Abstract](32) +[HTML](32) +[PDF](548.93KB)
Global solutions of shock reflection problem for the pressure gradient system
Hanchun Yang, Meimei Zhang and Qin Wang
2020, 19(6) : 3387-3428 doi: 10.3934/cpaa.2020150 +[Abstract](34) +[HTML](37) +[PDF](752.24KB)
Existence results for quasilinear Schrödinger equations with a general nonlinearity
Haidong Liu and Leiga Zhao
2020, 19(6) : 3429-3444 doi: 10.3934/cpaa.2020059 +[Abstract](32) +[HTML](31) +[PDF](446.03KB)
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](3816) +[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](3499) +[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](2848) +[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](2929) +[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](2643) +[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](3322) +[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](2657) +[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](2526) +[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](2896) +[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](2589) +[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](4666) +[HTML](449) +[PDF](462.14KB) PDF Downloads(254)
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](1159) +[HTML](203) +[PDF](460.49KB) PDF Downloads(233)
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](3207) +[HTML](269) +[PDF](382.99KB) PDF Downloads(229)
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](2691) +[PDF](486.1KB) PDF Downloads(229)
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](3032) +[HTML](299) +[PDF](342.33KB) PDF Downloads(225)
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](3458) +[HTML](166) +[PDF](328.43KB) PDF Downloads(221)
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](3707) +[HTML](193) +[PDF](367.7KB) PDF Downloads(206)
The Nehari manifold for a fractional Laplacian equation involving critical nonlinearities
Qingfang Wang
2018, 17(6) : 2261-2281 doi: 10.3934/cpaa.2018108 +[Abstract](4339) +[HTML](209) +[PDF](409.64KB) PDF Downloads(205)
Spreading speeds and traveling waves for space-time periodic nonlocal dispersal cooperative systems
Xiongxiong Bao, Wenxian Shen and Zhongwei Shen
2019, 18(1) : 361-396 doi: 10.3934/cpaa.2019019 +[Abstract](3642) +[HTML](180) +[PDF](502.44KB) PDF Downloads(189)
Ground states of nonlinear fractional Choquard equations with Hardy-Littlewood-Sobolev critical growth
Hua Jin, Wenbin Liu, Huixing Zhang and Jianjun Zhang
2020, 19(1) : 123-144 doi: 10.3934/cpaa.2020008 +[Abstract](976) +[HTML](186) +[PDF](380.39KB) PDF Downloads(183)

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