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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.

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On principal eigenvalues of biharmonic systems
Lingju Kong and Roger Nichols
2021, 20(1) : 1-15 doi: 10.3934/cpaa.2020254 +[Abstract](185) +[HTML](71) +[PDF](347.6KB)
A note on Riemann-Liouville fractional Sobolev spaces
Alessandro Carbotti and Giovanni E. Comi
2021, 20(1) : 17-54 doi: 10.3934/cpaa.2020255 +[Abstract](194) +[HTML](94) +[PDF](508.61KB)
Limit cycle bifurcations in a class of piecewise smooth cubic systems with multiple parameters
Meilan Cai and Maoan Han
2021, 20(1) : 55-75 doi: 10.3934/cpaa.2020257 +[Abstract](149) +[HTML](71) +[PDF](511.47KB)
Scattering of the focusing energy-critical NLS with inverse square potential in the radial case
Kai Yang
2021, 20(1) : 77-99 doi: 10.3934/cpaa.2020258 +[Abstract](144) +[HTML](61) +[PDF](427.96KB)
Blow-up solutions and strong instability of ground states for the inhomogeneous nonlinear Schrödinger equation
Alex H. Ardila and Mykael Cardoso
2021, 20(1) : 101-119 doi: 10.3934/cpaa.2020259 +[Abstract](160) +[HTML](78) +[PDF](379.97KB)
Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inverse-power potential
Noriyoshi Fukaya
2021, 20(1) : 121-143 doi: 10.3934/cpaa.2020260 +[Abstract](131) +[HTML](56) +[PDF](406.52KB)
A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle
Gloria Paoli, Gianpaolo Piscitelli and Rossanno Sannipoli
2021, 20(1) : 145-158 doi: 10.3934/cpaa.2020261 +[Abstract](119) +[HTML](64) +[PDF](345.76KB)
Bubbling solutions for the Liouville equation around a quantized singularity in symmetric domains
Teresa D'Aprile
2021, 20(1) : 159-191 doi: 10.3934/cpaa.2020262 +[Abstract](148) +[HTML](56) +[PDF](463.44KB)
Spectrum of the Laplacian on regular polyhedra
Evan Greif, Daniel Kaplan, Robert S. Strichartz and Samuel C. Wiese
2021, 20(1) : 193-214 doi: 10.3934/cpaa.2020263 +[Abstract](152) +[HTML](54) +[PDF](6925.09KB)
Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity II: Supercritical blow-up profiles
Justin Holmer and Chang Liu
2021, 20(1) : 215-242 doi: 10.3934/cpaa.2020264 +[Abstract](118) +[HTML](36) +[PDF](724.33KB)
High-order Wong-Zakai approximations for non-autonomous stochastic $ p $-Laplacian equations on $ \mathbb{R}^N $
Wenqiang Zhao and Yijin Zhang
2021, 20(1) : 243-280 doi: 10.3934/cpaa.2020265 +[Abstract](123) +[HTML](67) +[PDF](480.61KB)
Periodic bouncing solutions for Hill's type sub-linear oscillators with obstacles
Chao Wang, Qihuai Liu and Zhiguo Wang
2021, 20(1) : 281-300 doi: 10.3934/cpaa.2020266 +[Abstract](120) +[HTML](51) +[PDF](360.15KB)
Global regularity for a class of Monge-Ampère type equations with nonzero boundary conditions
Mengni Li
2021, 20(1) : 301-317 doi: 10.3934/cpaa.2020267 +[Abstract](107) +[HTML](44) +[PDF](372.83KB)
Global weak solutions for Landau-Lifshitz flows and heat flows associated to micromagnetic energy functional
Bo Chen and Youde Wang
2021, 20(1) : 319-338 doi: 10.3934/cpaa.2020268 +[Abstract](90) +[HTML](34) +[PDF](367.37KB)
Analytical and numerical monotonicity results for discrete fractional sequential differences with negative lower bound
Christopher S. Goodrich, Benjamin Lyons and Mihaela T. Velcsov
2021, 20(1) : 339-358 doi: 10.3934/cpaa.2020269 +[Abstract](76) +[HTML](41) +[PDF](4191.53KB)
Isomorphism between one-Dimensional and multidimensional finite difference operators
Anton A. Kutsenko
2021, 20(1) : 359-368 doi: 10.3934/cpaa.2020270 +[Abstract](122) +[HTML](43) +[PDF](501.77KB)
On optimal autocorrelation inequalities on the real line
José Madrid and João P. G. Ramos
2021, 20(1) : 369-388 doi: 10.3934/cpaa.2020271 +[Abstract](74) +[HTML](26) +[PDF](367.11KB)
New general decay result for a system of viscoelastic wave equations with past history
Adel M. Al-Mahdi, Mohammad M. Al-Gharabli and Salim A. Messaoudi
2021, 20(1) : 389-404 doi: 10.3934/cpaa.2020273 +[Abstract](104) +[HTML](40) +[PDF](364.45KB)
Weighted multipolar Hardy inequalities and evolution problems with Kolmogorov operators perturbed by singular potentials
Anna Canale, Francesco Pappalardo and Ciro Tarantino
2021, 20(1) : 405-425 doi: 10.3934/cpaa.2020274 +[Abstract](96) +[HTML](32) +[PDF](420.82KB)
Stability and dynamic transition of a toxin-producing phytoplankton-zooplankton model with additional food
Chao Xing, Jiaojiao Pan and Hong Luo
2021, 20(1) : 427-448 doi: 10.3934/cpaa.2020275 +[Abstract](78) +[HTML](26) +[PDF](1782.17KB)
The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with a magnetic field
Claudianor O. Alves, Rodrigo C. M. Nemer and Sergio H. Monari Soares
2021, 20(1) : 449-465 doi: 10.3934/cpaa.2020276 +[Abstract](104) +[HTML](34) +[PDF](376.43KB)
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](4710) +[PDF](826.7KB) Cited By(102)
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](2725) +[PDF](225.5KB) Cited By(99)
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](2461) +[HTML](225) +[PDF](373.99KB) Cited By(93)
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](4289) +[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](3820) +[PDF](181.7KB) Cited By(89)
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](2113) +[PDF](130.3KB) Cited By(73)
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](3400) +[PDF](102.3KB) Cited By(67)
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](3244) +[PDF](395.6KB) 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](3943) +[PDF](1276.3KB) Cited By(66)
Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
Juncheng Wei and Wei Yao
2012, 11(3) : 1003-1011 doi: 10.3934/cpaa.2012.11.1003 +[Abstract](2576) +[PDF](366.4KB) Cited By(61)
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](3417) +[PDF](486.1KB) PDF Downloads(388)
Kirchhoff type equations with strong singularities
Yijing Sun and Yuxin Tan
2019, 18(1) : 181-193 doi: 10.3934/cpaa.2019010 +[Abstract](3697) +[HTML](200) +[PDF](342.2KB) PDF Downloads(327)
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](3860) +[HTML](357) +[PDF](342.33KB) PDF Downloads(323)
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](4248) +[HTML](216) +[PDF](328.43KB) PDF Downloads(316)
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](1831) +[HTML](261) +[PDF](460.49KB) PDF Downloads(308)
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](5318) +[HTML](497) +[PDF](462.14KB) PDF Downloads(293)
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](4789) +[HTML](259) +[PDF](367.7KB) PDF Downloads(277)
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](4414) +[HTML](307) +[PDF](490.86KB) PDF Downloads(265)
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](3981) +[HTML](318) +[PDF](382.99KB) PDF Downloads(264)
On a delayed epidemic model with non-instantaneous impulses
Liang Bai, Juan J. Nieto and José M. Uzal
2020, 19(4) : 1915-1930 doi: 10.3934/cpaa.2020084 +[Abstract](898) +[HTML](159) +[PDF](356.02KB) PDF Downloads(263)

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