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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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Geometry of self-similar measures on intervals with overlaps and applications to sub-Gaussian heat kernel estimates
Qingsong Gu, Jiaxin Hu and Sze-Man Ngai
2020, 19(2) : 641-676 doi: 10.3934/cpaa.2020030 +[Abstract](35) +[HTML](15) +[PDF](579.83KB)
Existence of weak solutions to a convection–diffusion equation in a uniformly local lebesgue space
Md. Rabiul Haque, Takayoshi Ogawa and Ryuichi Sato
2020, 19(2) : 677-697 doi: 10.3934/cpaa.2020031 +[Abstract](31) +[HTML](17) +[PDF](389.59KB)
(1+2)-dimensional Black-Scholes equations with mixed boundary conditions
Junkee Jeon and Jehan Oh
2020, 19(2) : 699-714 doi: 10.3934/cpaa.2020032 +[Abstract](21) +[HTML](16) +[PDF](402.46KB)
Prescribing $ Q $-curvature on $ S^n $ in the presence of symmetry
Pak Tung Ho
2020, 19(2) : 715-722 doi: 10.3934/cpaa.2020033 +[Abstract](39) +[HTML](17) +[PDF](307.41KB)
The scalar curvature problem on four-dimensional manifolds
Hichem Chtioui, Hichem Hajaiej and Marwa Soula
2020, 19(2) : 723-746 doi: 10.3934/cpaa.2020034 +[Abstract](24) +[HTML](13) +[PDF](412.6KB)
Decay of solutions for a dissipative higher-order Boussinesq system on a periodic domain
George J. Bautista and Ademir F. Pazoto
2020, 19(2) : 747-769 doi: 10.3934/cpaa.2020035 +[Abstract](35) +[HTML](18) +[PDF](207.57KB)
Liouville theorems for an integral equation of Choquard type
Phuong Le
2020, 19(2) : 771-783 doi: 10.3934/cpaa.2020036 +[Abstract](33) +[HTML](14) +[PDF](355.56KB)
Pullback dynamics of a non-autonomous mixture problem in one dimensional solids with nonlinear damping
Mirelson M. Freitas, Alberto L. C. Costa and Geraldo M. Araújo
2020, 19(2) : 785-809 doi: 10.3934/cpaa.2020037 +[Abstract](66) +[HTML](15) +[PDF](577.04KB)
Pathwise solution to rough stochastic lattice dynamical system driven by fractional noise
Caibin Zeng, Xiaofang Lin, Jianhua Huang and Qigui Yang
2020, 19(2) : 811-834 doi: 10.3934/cpaa.2020038 +[Abstract](22) +[HTML](14) +[PDF](393.23KB)
A global existence of classical solutions to the two-dimensional kinetic-fluid model for flocking with large initial data
Seung-Yeal Ha, Bingkang Huang, Qinghua Xiao and Xiongtao Zhang
2020, 19(2) : 835-882 doi: 10.3934/cpaa.2020039 +[Abstract](28) +[HTML](14) +[PDF](531.66KB)
Dynamics in a diffusive predator-prey system with stage structure and strong allee effect
Yuying Liu, Yuxiao Guo and Junjie Wei
2020, 19(2) : 883-910 doi: 10.3934/cpaa.2020040 +[Abstract](30) +[HTML](16) +[PDF](720.42KB)
Asymptotic profile of solutions to a certain chemotaxis system
Rafał Celiński and Andrzej Raczyński
2020, 19(2) : 911-922 doi: 10.3934/cpaa.2020041 +[Abstract](25) +[HTML](11) +[PDF](304.6KB)
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](33) +[HTML](12) +[PDF](356.11KB)
Global solvability and general decay of a transmission problem for kirchhoff-type wave equations with nonlinear damping and delay term
Zhiqing Liu and Zhong Bo Fang
2020, 19(2) : 941-966 doi: 10.3934/cpaa.2020043 +[Abstract](27) +[HTML](16) +[PDF](286.28KB)
Dissipative nonlinear schrödinger equations for large data in one space dimension
Gaku Hoshino
2020, 19(2) : 967-981 doi: 10.3934/cpaa.2020044 +[Abstract](21) +[HTML](18) +[PDF](342.59KB)
The Soap Bubble Theorem and a $ p $-Laplacian overdetermined problem
Francesca Colasuonno and Fausto Ferrari
2020, 19(2) : 983-1000 doi: 10.3934/cpaa.2020045 +[Abstract](29) +[HTML](15) +[PDF](357.81KB)
Asymptotic behavior of coupled inclusions with variable exponents
Peter E. Kloeden, Jacson Simsen and Petra Wittbold
2020, 19(2) : 1001-1016 doi: 10.3934/cpaa.2020046 +[Abstract](28) +[HTML](18) +[PDF](383.35KB)
Elliptic approximation of forward-backward parabolic equations
Fabio Paronetto
2020, 19(2) : 1017-1036 doi: 10.3934/cpaa.2020047 +[Abstract](24) +[HTML](29) +[PDF](371.01KB)
Local uniqueness problem for a nonlinear elliptic equation
Miao Chen, Youyan Wan and Chang-Lin Xiang
2020, 19(2) : 1037-1055 doi: 10.3934/cpaa.2020048 +[Abstract](24) +[HTML](14) +[PDF](381.21KB)
Global solutions for a chemotaxis hyperbolic-parabolic system on networks with nonhomogeneous boundary conditions
Francesca R. Guarguaglini
2020, 19(2) : 1057-1087 doi: 10.3934/cpaa.2020049 +[Abstract](26) +[HTML](17) +[PDF](422.36KB)
Dynamics of a multigroup SIRS epidemic model with random perturbations and varying total population size
Qun Liu and Daqing Jiang
2020, 19(2) : 1089-1110 doi: 10.3934/cpaa.2020050 +[Abstract](23) +[HTML](18) +[PDF](351.06KB)
Non-existence results for cooperative semi-linear fractional system via direct method of moving spheres
Xiaoxue Ji, Pengcheng Niu and Pengyan Wang
2020, 19(2) : 1111-1128 doi: 10.3934/cpaa.2020051 +[Abstract](28) +[HTML](13) +[PDF](349.19KB)
Optimal global asymptotic behavior of the solution to a singular monge-ampère equation
Zhijun Zhang
2020, 19(2) : 1129-1145 doi: 10.3934/cpaa.2020053 +[Abstract](29) +[HTML](16) +[PDF](358.22KB)
Boundary value problems for harmonic functions on domains in sierpinski gaskets
Shiping Cao and Hua Qiu
2020, 19(2) : 1147-1179 doi: 10.3934/cpaa.2020054 +[Abstract](20) +[HTML](12) +[PDF](969.32KB)
Multiple solutions for a nonlinear Schrödinger systems
Fengshuang Gao and Yuxia Guo
2020, 19(2) : 1181-1204 doi: 10.3934/cpaa.2020055 +[Abstract](36) +[HTML](16) +[PDF](442.38KB)
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](3220) +[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](2901) +[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](2378) +[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](2394) +[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](2223) +[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](2910) +[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](2258) +[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](2123) +[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](2413) +[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](2207) +[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](3860) +[HTML](401) +[PDF](462.14KB) PDF Downloads(217)
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](593) +[HTML](163) +[PDF](460.49KB) PDF Downloads(178)
The Nehari manifold for a fractional Laplacian equation involving critical nonlinearities
Qingfang Wang
2018, 17(6) : 2261-2281 doi: 10.3934/cpaa.2018108 +[Abstract](3530) +[HTML](159) +[PDF](409.64KB) PDF Downloads(162)
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](2522) +[HTML](210) +[PDF](382.99KB) PDF Downloads(150)
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](2803) +[HTML](153) +[PDF](332.85KB) PDF Downloads(144)
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](3580) +[HTML](364) +[PDF](480.5KB) PDF Downloads(143)
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](3279) +[HTML](149) +[PDF](391.77KB) PDF Downloads(142)
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](2144) +[PDF](486.1KB) PDF Downloads(142)
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](3194) +[HTML](237) +[PDF](490.86KB) 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](2601) +[HTML](193) +[PDF](411.33KB) PDF Downloads(136)

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