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CPAA Flyer: showing all essential information of the journal.
Communications on Pure & Applied Analysis (ISSN 1534-0392) is published monthly. CPAA is devoted to mathematical contributions to the sciences; both theoretical and applied papers, of original or expository type, are included. It features recent development in analysis and its applications, with a central theme on theoretical and numeric differential equations and applications. It is edited by some leading researchers 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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Compactness of the complex Green operator on non-pseudoconvex CR manifolds
Joel Coacalle and Andrew Raich
2021, 20(6) : 2139-2154 doi: 10.3934/cpaa.2021061 +[Abstract](219) +[HTML](115) +[PDF](388.09KB)
A new Hodge operator in discrete exterior calculus. Application to fluid mechanics
Rama Ayoub, Aziz Hamdouni and Dina Razafindralandy
2021, 20(6) : 2155-2185 doi: 10.3934/cpaa.2021062 +[Abstract](207) +[HTML](111) +[PDF](3665.16KB)
Orbital stability and spectral properties of solitary waves of Klein–Gordon equation with concentrated nonlinearity
Andrew Comech and Elena Kopylova
2021, 20(6) : 2187-2209 doi: 10.3934/cpaa.2021063 +[Abstract](208) +[HTML](98) +[PDF](433.52KB)
Boundedness and asymptotic stability in a quasilinear two-species chemotaxis system with nonlinear signal production
Xu Pan and Liangchen Wang
2021, 20(6) : 2211-2236 doi: 10.3934/cpaa.2021064 +[Abstract](213) +[HTML](104) +[PDF](435.25KB)
Positive solutions for Choquard equation in exterior domains
Peng Chen and Xiaochun Liu
2021, 20(6) : 2237-2256 doi: 10.3934/cpaa.2021065 +[Abstract](236) +[HTML](95) +[PDF](376.96KB)
Fractional oscillon equations; solvability and connection with classical oscillon equations
Flank D. M. Bezerra, Rodiak N. Figueroa-López and Marcelo J. D. Nascimento
2021, 20(6) : 2257-2277 doi: 10.3934/cpaa.2021067 +[Abstract](243) +[HTML](107) +[PDF](442.93KB)
Local existence and uniqueness in Sobolev spaces for first-order conformal causal relativistic viscous hydrodynamics
Fabio Sperotto Bemfica, Marcelo Mendes Disconzi, Casey Rodriguez and Yuanzhen Shao
2021, 20(6) : 2279-2290 doi: 10.3934/cpaa.2021069 +[Abstract](198) +[HTML](127) +[PDF](347.17KB)
Least energy sign-changing solutions for Schrödinger-Poisson system with critical growth
Xiaoping Chen and Chunlei Tang
2021, 20(6) : 2291-2312 doi: 10.3934/cpaa.2021077 +[Abstract](133) +[HTML](52) +[PDF](411.88KB)
Uniqueness and sign properties of minimizers in a quasilinear indefinite problem
Uriel Kaufmann, Humberto Ramos Quoirin and Kenichiro Umezu
2021, 20(6) : 2313-2322 doi: 10.3934/cpaa.2021078 +[Abstract](106) +[HTML](45) +[PDF](336.94KB)
On local solvability for a class of generalized Mizohata equations
L. R. Nunes and J. R. Dos Santos Filho
2021, 20(6) : 2323-2340 doi: 10.3934/cpaa.2021081 +[Abstract](108) +[HTML](55) +[PDF](363.88KB)
An optimal osmotic control problem for a concrete dam system
Renzhao Chen and Xuezhang Hou
2021, 20(6) : 2341-2359 doi: 10.3934/cpaa.2021082 +[Abstract](84) +[HTML](46) +[PDF](975.67KB)
A class of the non-degenerate complex quotient equations on compact Kähler manifolds
Jundong Zhou
2021, 20(6) : 2361-2377 doi: 10.3934/cpaa.2021085 +[Abstract](106) +[HTML](63) +[PDF](351.87KB)
Asymptotics for the concentrated field between closely located hard inclusions in all dimensions
Zhiwen Zhao and Xia Hao
2021, 20(6) : 2379-2398 doi: 10.3934/cpaa.2021086 +[Abstract](126) +[HTML](44) +[PDF](418.44KB)
Density functions of distribution dependent SDEs driven by Lévy noises
Yulin Song
2021, 20(6) : 2399-2419 doi: 10.3934/cpaa.2021087 +[Abstract](104) +[HTML](59) +[PDF](380.86KB)
Uniqueness and sign properties of minimizers in a quasilinear indefinite problem
Uriel Kaufmann, Humberto Ramos Quoirin and Kenichiro Umezu
2021doi: 10.3934/10.3934/cpaa.2021078 +[Abstract](86) +[HTML](58) +[PDF](319.8KB)
Blow-up results for effectively damped wave models with nonlinear memory
Tayeb Hadj Kaddour and Michael Reissig
2020doi: 10.3934/cpaa.2020239 +[Abstract](841) +[HTML](354) +[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](687) +[HTML](313) +[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](743) +[HTML](346) +[PDF](367.37KB)
Multiple solutions for nonlinear cone degenerate elliptic equations
Hua Chen and Yawei Wei
2020doi: 10.3934/cpaa.2020272 +[Abstract](622) +[HTML](262) +[PDF](319.1KB)
Kuramoto order parameters and phase concentration for the Kuramoto-Sakaguchi equation with frustration
Seung-Yeal Ha, Javier Morales and Yinglong Zhang
2021doi: 10.3934/cpaa.2021013 +[Abstract](346) +[HTML](182) +[PDF](496.32KB)
Global solutions of a two-dimensional Riemann problem for the pressure gradient system
Gui-Qiang G. Chen, Qin Wang and Shengguo Zhu
2021doi: 10.3934/cpaa.2021014 +[Abstract](338) +[HTML](212) +[PDF](643.44KB)
On a supersonic-sonic patch arising from the frankl problem in transonic flows
Yanbo Hu and Jiequan Li
2021doi: 10.3934/cpaa.2021015 +[Abstract](284) +[HTML](171) +[PDF](463.0KB)
On the attractor for a semilinear wave equation with variable coefficients and nonlinear boundary dissipation
Jiacheng Wang and Peng-Fei Yao
2021doi: 10.3934/cpaa.2021043 +[Abstract](215) +[HTML](122) +[PDF](317.63KB)
Collective behaviors of the Lohe Hermitian sphere model with inertia
Seung-Yeal Ha, Myeongju Kang and Hansol Park
2021doi: 10.3934/cpaa.2021046 +[Abstract](228) +[HTML](105) +[PDF](370.69KB)
Subellipticity of some complex vector fields related to the Witten Laplacian
Wei Xi Li and Chao Jiang Xu
2021doi: 10.3934/cpaa.2021047 +[Abstract](219) +[HTML](104) +[PDF](329.69KB)
Radon measure solutions for steady compressible hypersonic-limit Euler flows passing cylindrically symmetric conical bodies
Yunjuan Jin, Aifang Qu and Hairong Yuan
2021doi: 10.3934/cpaa.2021048 +[Abstract](260) +[HTML](197) +[PDF](449.68KB)
Nonlinear stability of rarefaction waves for a hyperbolic system with Cattaneo's law
Yinsong Bai, Lin He and Huijiang Zhao
2021doi: 10.3934/cpaa.2021049 +[Abstract](214) +[HTML](111) +[PDF](440.73KB)
Uniqueness of steady 1-D shock solutions in a finite nozzle via vanishing viscosity aguments
Beixiang Fang and Qin Zhao
2021doi: 10.3934/cpaa.2021066 +[Abstract](160) +[HTML](97) +[PDF](328.2KB)
Local well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics
Fabio S. Bemfica, Marcelo M. Disconzi and P. Jameson Graber
2021doi: 10.3934/cpaa.2021068 +[Abstract](65) +[HTML](30) +[PDF](459.88KB)
A degenerate elliptic problem from subsonic-sonic flows in convergent nozzles
Guanming Gai, Yuanyuan Nie and Chunpeng Wang
2021doi: 10.3934/cpaa.2021070 +[Abstract](211) +[HTML](96) +[PDF](362.63KB)
On the Calderon-Zygmund property of Riesz-transform type operators arising in nonlocal equations
Sasikarn Yeepo, Wicharn Lewkeeratiyutkul, Sujin Khomrutai and Armin Schikorra
2021doi: 10.3934/cpaa.2021071 +[Abstract](70) +[HTML](36) +[PDF](408.68KB)
Remarks on global weak solutions to a two-fluid type model
Huanyao Wen and Changjiang Zhu
2021doi: 10.3934/cpaa.2021072 +[Abstract](126) +[HTML](66) +[PDF](374.64KB)
Uniform regularity and vanishing viscosity limit for the incompressible non-resistive MHD system with transverse magnetic field
Cheng-Jie Liu, Feng Xie and Tong Yang
2021doi: 10.3934/cpaa.2021073 +[Abstract](139) +[HTML](71) +[PDF](366.64KB)
Stabilized finite element methods based on multiscale enrichment for Allen-Cahn and Cahn-Hilliard equations
Juan Wen, Yaling He, Yinnian He and Kun Wang
2021doi: 10.3934/cpaa.2021074 +[Abstract](134) +[HTML](66) +[PDF](3024.82KB)
On the even solutions of the Toda system: a degree argument approach
Yong Liu, Jing Tian and Xuelin Yong
2021doi: 10.3934/cpaa.2021075 +[Abstract](134) +[HTML](78) +[PDF](782.03KB)
Hadamard Semidifferential, Oriented Distance Function, and some Applications
Michel C. Delfour
2021doi: 10.3934/cpaa.2021076 +[Abstract](178) +[HTML](92) +[PDF](482.37KB)
Three-dimensional supersonic flows of Euler-Poisson system for potential flow
Myoungjean Bae and Hyangdong Park
2021doi: 10.3934/cpaa.2021079 +[Abstract](155) +[HTML](61) +[PDF](369.42KB)
Large-time behaviors of the solution to 3D compressible Navier-Stokes equations in half space with Navier boundary conditions
Teng Wang and Yi Wang
2021doi: 10.3934/cpaa.2021080 +[Abstract](134) +[HTML](66) +[PDF](371.21KB)
On the stability of two-dimensional nonisentropic elastic vortex sheets
Robin Ming Chen, Feimin Huang, Dehua Wang and Difan Yuan
2021doi: 10.3934/cpaa.2021083 +[Abstract](125) +[HTML](71) +[PDF](307.28KB)
On the invariant region for compressible Euler equations with a general equation of state
Hailiang Liu and Ferdinand Thein
2021doi: 10.3934/cpaa.2021084 +[Abstract](160) +[HTML](73) +[PDF](281.36KB)
Analysis of COVID-19 epidemic transmission trend based on a time-delayed dynamic model
Tailei Zhang and Zhimin Li
2021doi: 10.3934/cpaa.2021088 +[Abstract](104) +[HTML](106) +[PDF](468.47KB)
The curved symmetric $ 2 $– and $ 3 $–center problem on constant negative surfaces
Sawsan Alhowaity, Ernesto Pérez-Chavela and Juan Manuel Sánchez-Cerritos
2021doi: 10.3934/cpaa.2021090 +[Abstract](83) +[HTML](24) +[PDF](671.3KB)
Improved well-posedness results for the Maxwell-Klein-Gordon system in 2D
Hartmut Pecher
2021doi: 10.3934/cpaa.2021091 +[Abstract](48) +[HTML](24) +[PDF](408.71KB)
Stability results of a singular local interaction elastic/viscoelastic coupled wave equations with time delay
Mohammad Akil, Haidar Badawi and Ali Wehbe
2021doi: 10.3934/cpaa.2021092 +[Abstract](51) +[HTML](19) +[PDF](453.3KB)
Data-driven optimal control of a seir model for COVID-19
Hailiang Liu and Xuping Tian
2021doi: 10.3934/cpaa.2021093 +[Abstract](56) +[HTML](42) +[PDF](1372.32KB)
A linear, decoupled and positivity-preserving numerical scheme for an epidemic model with advection and diffusion
Jisheng Kou, Huangxin Chen, Xiuhua Wang and Shuyu Sun
2021doi: 10.3934/cpaa.2021094 +[Abstract](51) +[HTML](39) +[PDF](1366.37KB)
On the hot spots of quantum graphs
James B. Kennedy and Jonathan Rohleder
2021doi: 10.3934/cpaa.2021095 +[Abstract](63) +[HTML](26) +[PDF](452.6KB)
Multiplicity and concentration of positive solutions to the fractional Kirchhoff type problems involving sign-changing weight functions
Jie Yang and Haibo Chen
2021doi: 10.3934/cpaa.2021096 +[Abstract](61) +[HTML](22) +[PDF](413.2KB)
On the stability of boundary equilibria in Filippov systems
D. J. W. Simpson
2021doi: 10.3934/cpaa.2021097 +[Abstract](62) +[HTML](28) +[PDF](594.7KB)
Boundary stabilization of non-diagonal systems by proportional feedback forms
Ionuţ Munteanu
2021doi: 10.3934/cpaa.2021098 +[Abstract](42) +[HTML](16) +[PDF](325.56KB)
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](5267) +[PDF](826.7KB) Cited By(107)
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](3302) +[PDF](225.5KB) Cited By(106)
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](3241) +[HTML](235) +[PDF](373.99KB) Cited By(102)
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](4833) +[PDF](509.5KB) Cited By(93)
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](4487) +[PDF](181.7KB) Cited By(90)
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](2573) +[PDF](130.3KB) Cited By(79)
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](4470) +[PDF](1276.3KB) Cited By(72)
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](3175) +[PDF](366.4KB) 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](3853) +[PDF](102.3KB) 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](3680) +[PDF](395.6KB) Cited By(69)
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](2171) +[HTML](84) +[PDF](419.64KB) PDF Downloads(570)
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](4001) +[PDF](486.1KB) PDF Downloads(499)
Mean value properties and unique continuation
José G. Llorente
2015, 14(1) : 185-199 doi: 10.3934/cpaa.2015.14.185 +[Abstract](2636) +[PDF](427.4KB) PDF Downloads(475)
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](2288) +[HTML](103) +[PDF](356.11KB) PDF Downloads(407)
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](4367) +[HTML](370) +[PDF](342.33KB) PDF Downloads(403)
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](4823) +[HTML](224) +[PDF](328.43KB) PDF Downloads(401)
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](885) +[HTML](85) +[PDF](414.25KB) PDF Downloads(396)
The Landau-de Gennes theory of nematic liquid crystals: Uniaxiality versus Biaxiality
Apala Majumdar
2012, 11(3) : 1303-1337 doi: 10.3934/cpaa.2012.11.1303 +[Abstract](2820) +[PDF](596.9KB) PDF Downloads(391)
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](1395) +[HTML](167) +[PDF](356.02KB) PDF Downloads(376)
Kirchhoff type equations with strong singularities
Yijing Sun and Yuxin Tan
2019, 18(1) : 181-193 doi: 10.3934/cpaa.2019010 +[Abstract](4149) +[HTML](212) +[PDF](342.2KB) PDF Downloads(374)

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