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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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Uniqueness of positive radial solutions of the Brezis-Nirenberg problem on thin annular domains on $ {\mathbb S}^n $ and symmetry breaking bifurcations
Naoki Shioji and Kohtaro Watanabe
2020, 19(10) : 4727-4770 doi: 10.3934/cpaa.2020210 +[Abstract](102) +[HTML](44) +[PDF](532.85KB)
On some elliptic equation in the whole euclidean space $ \mathbb{R}^2 $ with nonlinearities having new exponential growth condition
Sami Aouaoui and Rahma Jlel
2020, 19(10) : 4771-4796 doi: 10.3934/cpaa.2020211 +[Abstract](91) +[HTML](31) +[PDF](419.18KB)
Global bifurcation for the Hénon problem
Anna Lisa Amadori
2020, 19(10) : 4797-4816 doi: 10.3934/cpaa.2020212 +[Abstract](90) +[HTML](30) +[PDF](399.59KB)
On the strauss index of semilinear tricomi equation
Daoyin He, Ingo Witt and Huicheng Yin
2020, 19(10) : 4817-4838 doi: 10.3934/cpaa.2020213 +[Abstract](292) +[HTML](102) +[PDF](426.29KB)
Boundedness in prey-taxis system with rotational flux terms
Hengling Wang and Yuxiang Li
2020, 19(10) : 4839-4851 doi: 10.3934/cpaa.2020214 +[Abstract](57) +[HTML](30) +[PDF](357.37KB)
On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions
Giovanni Gravina and Giovanni Leoni
2020, 19(10) : 4853-4878 doi: 10.3934/cpaa.2020215 +[Abstract](84) +[HTML](32) +[PDF](437.6KB)
Stability of non-classical thermoelasticity mixture problems
Margareth S. Alves and Rodrigo N. Monteiro
2020, 19(10) : 4879-4898 doi: 10.3934/cpaa.2020216 +[Abstract](64) +[HTML](31) +[PDF](365.85KB)
Subsonic solutions to a shock diffraction problem by a convex cornered wedge for the pressure gradient system
Yinzheng Sun, Qin Wang and Kyungwoo Song
2020, 19(10) : 4899-4920 doi: 10.3934/cpaa.2020217 +[Abstract](86) +[HTML](28) +[PDF](613.97KB)
Existence and uniqueness of viscosity solutions to the exterior problem of a parabolic Monge-Ampère equation
Shuyu Gong, Ziwei Zhou and Jiguang Bao
2020, 19(10) : 4921-4936 doi: 10.3934/cpaa.2020218 +[Abstract](76) +[HTML](39) +[PDF](361.78KB)
Semilinear elliptic problems involving exponential critical growth in the half-space
Diego D. Felix, Marcelo F. Furtado and Everaldo S. Medeiros
2020, 19(10) : 4937-4953 doi: 10.3934/cpaa.2020219 +[Abstract](74) +[HTML](30) +[PDF](387.11KB)
Periodic solutions of an age-structured epidemic model with periodic infection rate
Hao Kang, Qimin Huang and Shigui Ruan
2020, 19(10) : 4955-4972 doi: 10.3934/cpaa.2020220 +[Abstract](83) +[HTML](43) +[PDF](993.41KB)
Mass concentration phenomenon to the two-dimensional Cauchy problem of the compressible Magnetohydrodynamic equations
Yongfu Wang
2020, 19(10) : 4973-4994 doi: 10.3934/cpaa.2020223 +[Abstract](58) +[HTML](33) +[PDF](365.95KB)
Longtime dynamics for a type of suspension bridge equation with past history and time delay
Gongwei Liu, Baowei Feng and Xinguang Yang
2020, 19(10) : 4995-5013 doi: 10.3934/cpaa.2020224 +[Abstract](68) +[HTML](29) +[PDF](371.35KB)
Nonlinear stability of periodic-wave solutions for systems of dispersive equations
Fabrício Cristófani and Ademir Pastor
2020, 19(10) : 5015-5032 doi: 10.3934/cpaa.2020225 +[Abstract](61) +[HTML](28) +[PDF](581.9KB)
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](4362) +[PDF](826.7KB) Cited By(99)
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](3953) +[PDF](509.5KB) Cited By(88)
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](3385) +[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](2017) +[HTML](224) +[PDF](373.99KB) Cited By(80)
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](3176) +[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](3627) +[PDF](1276.3KB) Cited By(63)
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](2981) +[PDF](395.6KB) Cited By(63)
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](42151) +[HTML](387) +[PDF](546.2KB) Cited By(56)
Persistent regional null contrillability for a class of degenerate parabolic equations
Piermarco Cannarsa, Patrick Martinez and Judith Vancostenoble
2004, 3(4) : 607-635 doi: 10.3934/cpaa.2004.3.607 +[Abstract](2012) +[PDF](259.8KB) Cited By(49)
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](3008) +[PDF](318.8KB) Cited By(49)
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](3057) +[PDF](486.1KB) PDF Downloads(301)
Kirchhoff type equations with strong singularities
Yijing Sun and Yuxin Tan
2019, 18(1) : 181-193 doi: 10.3934/cpaa.2019010 +[Abstract](3409) +[HTML](193) +[PDF](342.2KB) PDF Downloads(299)
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](3450) +[HTML](349) +[PDF](342.33KB) PDF Downloads(292)
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](1544) +[HTML](255) +[PDF](460.49KB) PDF Downloads(284)
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](5073) +[HTML](492) +[PDF](462.14KB) PDF Downloads(280)
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](3939) +[HTML](213) +[PDF](328.43KB) PDF Downloads(276)
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](4302) +[HTML](249) +[PDF](367.7KB) PDF Downloads(270)
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](3659) +[HTML](316) +[PDF](382.99KB) PDF Downloads(252)
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](4159) +[HTML](299) +[PDF](490.86KB) PDF Downloads(249)
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](559) +[HTML](103) +[PDF](1125.72KB) PDF Downloads(234)

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