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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](447) +[HTML](82) +[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](449) +[HTML](102) +[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](368) +[HTML](82) +[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](329) +[HTML](66) +[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](341) +[HTML](82) +[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](328) +[HTML](62) +[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](299) +[HTML](71) +[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](308) +[HTML](61) +[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](341) +[HTML](60) +[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](294) +[HTML](44) +[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](274) +[HTML](74) +[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](305) +[HTML](55) +[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](372) +[HTML](49) +[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](272) +[HTML](39) +[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](259) +[HTML](47) +[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](344) +[HTML](47) +[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](238) +[HTML](32) +[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](301) +[HTML](47) +[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](321) +[HTML](39) +[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](257) +[HTML](34) +[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](318) +[HTML](41) +[PDF](376.43KB)
Response solutions to harmonic oscillators beyond multi–dimensional brjuno frequency
Hongyu Cheng and Shimin Wang
2020doi: 10.3934/cpaa.2020222 +[Abstract](138) +[HTML](48) +[PDF](433.17KB)
Blow-up results for effectively damped wave models with nonlinear memory
Tayeb Hadj Kaddour and Michael Reissig
2020doi: 10.3934/cpaa.2020239 +[Abstract](452) +[HTML](171) +[PDF](338.09KB)
Remark on 3-D Navier-Stokes system with strong dissipation in one direction
Yanlin Liu and Ping Zhang
2020doi: 10.3934/cpaa.2020244 +[Abstract](345) +[HTML](158) +[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](400) +[HTML](173) +[PDF](367.37KB)
Multiple solutions for nonlinear cone degenerate elliptic equations
Hua Chen and Yawei Wei
2020doi: 10.3934/cpaa.2020272 +[Abstract](262) +[HTML](87) +[PDF](319.1KB)
On the Cahn-Hilliard equation with mass source for biological applications
Hussein Fakih, Ragheb Mghames and Noura Nasreddine
2020doi: 10.3934/cpaa.2020277 +[Abstract](147) +[HTML](56) +[PDF](1403.5KB)
Topological Equivalence of nonautonomous difference equations with a family of dichotomies on the half line
Álvaro Castañeda, Pablo González and Gonzalo Robledo
2020doi: 10.3934/cpaa.2020278 +[Abstract](159) +[HTML](59) +[PDF](331.75KB)
Homogenization and singular perturbation in porous media
Eduard Marušić-Paloka and Igor Pažanin
2020doi: 10.3934/cpaa.2020279 +[Abstract](179) +[HTML](84) +[PDF](323.42KB)
A unique continuation property for a class of parabolic differential inequalities in a bounded domain
Guojie Zheng, Dihong Xu and Taige Wang
2020doi: 10.3934/cpaa.2020280 +[Abstract](179) +[HTML](58) +[PDF](314.55KB)
Classification and evolution of bifurcation curves for a porous-medium combustion problem with large activation energy
Kuo-Chih Hung and Shin-Hwa Wang
2020doi: 10.3934/cpaa.2020281 +[Abstract](156) +[HTML](63) +[PDF](407.61KB)
Semilinear Caputo time-fractional pseudo-parabolic equations
Nguyen Huy Tuan, Vo Van Au and Runzhang Xu
2020doi: 10.3934/cpaa.2020282 +[Abstract](187) +[HTML](152) +[PDF](491.37KB)
Dimension estimate of attractors for complex networks of reaction-diffusion systems applied to an ecological model
Guillaume Cantin and M. A. Aziz-Alaoui
2020doi: 10.3934/cpaa.2020283 +[Abstract](156) +[HTML](53) +[PDF](1796.71KB)
Random data theory for the cubic fourth-order nonlinear Schrödinger equation
Van Duong Dinh
2020doi: 10.3934/cpaa.2020284 +[Abstract](175) +[HTML](42) +[PDF](448.48KB)
Dual spaces of mixed-norm martingale hardy spaces
Ferenc Weisz
2020doi: 10.3934/cpaa.2020285 +[Abstract](115) +[HTML](55) +[PDF](346.7KB)
Elliptic problems with rough boundary data in generalized Sobolev spaces
Anna Anop, Robert Denk and Aleksandr Murach
2020doi: 10.3934/cpaa.2020286 +[Abstract](140) +[HTML](49) +[PDF](498.64KB)
Almost global existence for the Klein-Gordon equation with the Kirchhoff-type nonlinearity
Zheng Han and Daoyuan Fang
2020doi: 10.3934/cpaa.2020287 +[Abstract](127) +[HTML](50) +[PDF](364.7KB)
Single species population dynamics in seasonal environment with short reproduction period
Attila Dénes and Gergely Röst
2020doi: 10.3934/cpaa.2020288 +[Abstract](125) +[HTML](54) +[PDF](561.58KB)
Further regularity and uniqueness results for a non-isothermal Cahn-Hilliard equation
Erica Ipocoana and Andrea Zafferi
2020doi: 10.3934/cpaa.2020289 +[Abstract](109) +[HTML](40) +[PDF](339.43KB)
The anisotropic fractional isoperimetric problem with respect to unconditional unit balls
Andreas Kreuml
2020doi: 10.3934/cpaa.2020290 +[Abstract](82) +[HTML](36) +[PDF](345.18KB)
The boundedness of multi-linear and multi-parameter pseudo-differential operators
Liang Huang and Jiao Chen
2020doi: 10.3934/cpaa.2020291 +[Abstract](104) +[HTML](44) +[PDF](330.1KB)
Ground state and nodal solutions for fractional Schrödinger-maxwell-kirchhoff systems with pure critical growth nonlinearity
Chungen Liu and Huabo Zhang
2020doi: 10.3934/cpaa.2020292 +[Abstract](105) +[HTML](43) +[PDF](377.11KB)
Sub-solutions and a point-wise Hopf's lemma for fractional $ p $-Laplacian
Zaizheng Li and Qidi Zhang
2020doi: 10.3934/cpaa.2020293 +[Abstract](123) +[HTML](42) +[PDF](473.86KB)
Multiple positive solutions for coupled Schrödinger equations with perturbations
Haoyu Li and Zhi-Qiang Wang
2020doi: 10.3934/cpaa.2020294 +[Abstract](122) +[HTML](42) +[PDF](368.27KB)
On the quotient quantum graph with respect to the regular representation
Gökhan Mutlu
2020doi: 10.3934/cpaa.2020295 +[Abstract](80) +[HTML](38) +[PDF](307.46KB)
Inequalities of Hermite-Hadamard type for higher order convex functions, revisited
Tomasz Szostok
2020doi: 10.3934/cpaa.2020296 +[Abstract](107) +[HTML](38) +[PDF](431.43KB)
The degenerate Monge-Ampère equations with the Neumann condition
Juhua Shi and Feida Jiang
2020doi: 10.3934/cpaa.2020297 +[Abstract](110) +[HTML](30) +[PDF](355.98KB)
Ground states for a class of quasilinear Schrödinger equations with vanishing potentials
Zhouxin Li and Yimin Zhang
2020doi: 10.3934/cpaa.2020298 +[Abstract](85) +[HTML](36) +[PDF](371.51KB)
Global existence and uniform estimates of solutions to reaction diffusion systems with mass transport type boundary conditions
Vandana Sharma
2021doi: 10.3934/cpaa.2021001 +[Abstract](95) +[HTML](27) +[PDF](319.92KB)
Discrete diffusion semigroups associated with Jacobi-Dunkl and exceptional Jacobi polynomials
Ágota P. Horváth
2021doi: 10.3934/cpaa.2021002 +[Abstract](68) +[HTML](37) +[PDF](386.52KB)
Large-time behavior of solutions to unipolar Euler-Poisson equations with time-dependent damping
Qiwei Wu and Liping Luan
2021doi: 10.3934/cpaa.2021003 +[Abstract](76) +[HTML](33) +[PDF](359.76KB)
An overdetermined problem associated to the Finsler Laplacian
Giulio Ciraolo and Antonio Greco
2021doi: 10.3934/cpaa.2021004 +[Abstract](84) +[HTML](36) +[PDF](332.29KB)
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](4834) +[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](2830) +[PDF](225.5KB) Cited By(102)
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](2621) +[HTML](228) +[PDF](373.99KB) Cited By(95)
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](4423) +[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](3961) +[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](2178) +[PDF](130.3KB) Cited By(75)
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](4045) +[PDF](1276.3KB) Cited By(69)
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](3333) +[PDF](395.6KB) Cited By(69)
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](3476) +[PDF](102.3KB) Cited By(67)
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](2696) +[PDF](366.4KB) Cited By(64)
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](3508) +[PDF](486.1KB) PDF Downloads(402)
Kirchhoff type equations with strong singularities
Yijing Sun and Yuxin Tan
2019, 18(1) : 181-193 doi: 10.3934/cpaa.2019010 +[Abstract](3787) +[HTML](203) +[PDF](342.2KB) PDF Downloads(336)
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](4355) +[HTML](218) +[PDF](328.43KB) PDF Downloads(336)
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](3979) +[HTML](358) +[PDF](342.33KB) PDF Downloads(331)
Bifurcation and stability of a two-species diffusive Lotka-Volterra model
Li Ma and Shangjiang Guo
2020, 19(3) : 1205-1232 doi: 10.3934/cpaa.2020056 +[Abstract](1761) +[HTML](78) +[PDF](419.64KB) PDF Downloads(323)
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](1921) +[HTML](262) +[PDF](460.49KB) PDF Downloads(313)
Translating solutions of non-parametric mean curvature flows with capillary-type boundary value problems
Jun Wang, Wei Wei and Jinju Xu
2019, 18(6) : 3243-3265 doi: 10.3934/cpaa.2019146 +[Abstract](1665) +[HTML](209) +[PDF](407.02KB) PDF Downloads(310)
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](5419) +[HTML](497) +[PDF](462.14KB) PDF Downloads(297)
Approximation by multivariate max-product Kantorovich-type operators and learning rates of least-squares regularized regression
Lucian Coroianu, Danilo Costarelli, Sorin G. Gal and Gianluca Vinti
2020, 19(8) : 4213-4225 doi: 10.3934/cpaa.2020189 +[Abstract](546) +[HTML](77) +[PDF](414.25KB) 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](4914) +[HTML](259) +[PDF](367.7KB) PDF Downloads(288)

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