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Communications on Pure and 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.


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Multiple localized nodal solutions of high topological type for Kirchhoff-type equation with double potentials
Zhi-Guo Wu, Wen Guan and Da-Bin Wang
2022, 21(8) : 2495-2528 doi: 10.3934/cpaa.2022058 +[Abstract](230) +[HTML](88) +[PDF](556.05KB)
Wong-Zakai approximations and pathwise dynamics of stochastic fractional lattice systems
Yiju Chen, Xiaohu Wang and Kenan Wu
2022, 21(8) : 2529-2560 doi: 10.3934/cpaa.2022059 +[Abstract](213) +[HTML](81) +[PDF](546.88KB)
Singular quasilinear critical Schrödinger equations in $ \mathbb {R}^N $
Laura Baldelli and Roberta Filippucci
2022, 21(8) : 2561-2586 doi: 10.3934/cpaa.2022060 +[Abstract](211) +[HTML](79) +[PDF](674.44KB)
Parabolic Systems with measurable coefficients in weighted Sobolev spaces
Doyoon Kim, Kyeong-Hun Kim and Kijung Lee
2022, 21(8) : 2587-2613 doi: 10.3934/cpaa.2022062 +[Abstract](182) +[HTML](69) +[PDF](517.87KB)
Well-posedness for a coupled system of Kawahara/KdV type equations with polynomials nonlinearities
Cezar Kondo and Ronaldo Pes
2022, 21(8) : 2615-2641 doi: 10.3934/cpaa.2022063 +[Abstract](163) +[HTML](78) +[PDF](428.98KB)
Wellposedness of a DNA replication model based on a nucleation-growth process
J. Nieto and M. O. Vásquez
2022, 21(8) : 2643-2660 doi: 10.3934/cpaa.2022065 +[Abstract](204) +[HTML](54) +[PDF](403.66KB)
The Łojasiewicz inequality for free energy functionals on a graph
Kongzhi Li and Xiaoping Xue
2022, 21(8) : 2661-2677 doi: 10.3934/cpaa.2022066 +[Abstract](177) +[HTML](77) +[PDF](426.95KB)
On the solvability of a semilinear higher-order elliptic problem for the vector field method in image registration
Xiaojun Zheng, Zhongdan Huan and Jun Liu
2022, 21(8) : 2679-2700 doi: 10.3934/cpaa.2022068 +[Abstract](169) +[HTML](65) +[PDF](461.14KB)
The effect of the weight function on the number of nodal solutions of the Kirchhoff-type equations in high dimensions
He Zhang and Haibo Chen
2022, 21(8) : 2701-2721 doi: 10.3934/cpaa.2022069 +[Abstract](160) +[HTML](55) +[PDF](450.23KB)
Stability, existence and non-existence of $ T $-periodic solutions of nonlinear delayed differential equations with $ \varphi $-Laplacian
Pablo Amster, Mariel Paula Kuna and Dionicio Santos
2022, 21(8) : 2723-2737 doi: 10.3934/cpaa.2022070 +[Abstract](177) +[HTML](56) +[PDF](369.09KB)
On spectral and fractional powers of damped wave equations
Maykel Belluzi, Flank D. M. Bezerra and Marcelo J. D. Nascimento
2022, 21(8) : 2739-2773 doi: 10.3934/cpaa.2022071 +[Abstract](179) +[HTML](58) +[PDF](548.94KB)
Global Carleman estimate and its applications for a sixth-order equation related to thin solid films
Yanpeng Jin and Ying Fu
2022, 21(8) : 2775-2797 doi: 10.3934/cpaa.2022072 +[Abstract](180) +[HTML](50) +[PDF](415.39KB)
Sharp subcritical Sobolev inequalities and uniqueness of nonnegative solutions to high-order Lane-Emden equations on $ \mathbb{S}^n $
Lu Chen, Guozhen Lu and Yansheng Shen
2022, 21(8) : 2799-2817 doi: 10.3934/cpaa.2022073 +[Abstract](194) +[HTML](53) +[PDF](432.77KB)
Minimisers of Helfrich functional for surfaces of revolution
Huaiyu Jian and Hongbo Zeng
2022, 21(8) : 2819-2829 doi: 10.3934/cpaa.2022074 +[Abstract](143) +[HTML](55) +[PDF](333.92KB)
Emergent dynamics of the fractional Cucker-Smale model under general network topologies
Jinwook Jung and Peter Kuchling
2022, 21(8) : 2831-2856 doi: 10.3934/cpaa.2022077 +[Abstract](173) +[HTML](46) +[PDF](1212.88KB)
Nonexistence of Positive Solutions for high-order Hardy-H$ \acute{e} $non Systems on $ \mathbb{R}^{n} $
Rong Zhang
2022, 21(8) : 2857-2872 doi: 10.3934/cpaa.2022078 +[Abstract](145) +[HTML](57) +[PDF](408.53KB)
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](906) +[HTML](477) +[PDF](319.8KB)
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](1090) +[HTML](606) +[PDF](468.47KB)
Data-driven optimal control of a seir model for COVID-19
Hailiang Liu and Xuping Tian
2021doi: 10.3934/cpaa.2021093 +[Abstract](1275) +[HTML](491) +[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](907) +[HTML](622) +[PDF](1366.37KB)
Semi-discrete and fully discrete HDG methods for Burgers' equation
Zimo Zhu, Gang Chen and Xiaoping Xie
2021doi: 10.3934/cpaa.2021132 +[Abstract](791) +[HTML](428) +[PDF](488.08KB)
Dynamical analysis in disease transmission and final epidemic size
Daifeng Duan, Cuiping Wang and Yuan Yuan
2021doi: 10.3934/cpaa.2021150 +[Abstract](726) +[HTML](329) +[PDF](961.2KB)
Spatial dynamic analysis for COVID-19 epidemic model with diffusion and Beddington-DeAngelis type incidence
Tao Zheng, Yantao Luo, Xinran Zhou, Long Zhang and Zhidong Teng
2021doi: 10.3934/cpaa.2021154 +[Abstract](949) +[HTML](359) +[PDF](1057.49KB)
Transmission dynamics and high infectiousness of Coronavirus Disease 2019
Shunxiang Huang, Lin Wu, Jing Li, Ming-Zhen Xin, Yingying Wang, Xingjie Hao, Zhongyi Wang, Qihong Deng and Bin-Guo Wang
2021doi: 10.3934/cpaa.2021155 +[Abstract](734) +[HTML](307) +[PDF](1835.77KB)
Basic reproduction number estimation and forecasting of COVID-19: A case study of India, Brazil and Peru
Nitu Kumari, Sumit Kumar, Sandeep Sharma, Fateh Singh and Rana Parshad
2021doi: 10.3934/cpaa.2021170 +[Abstract](762) +[HTML](450) +[PDF](2334.82KB)
Fourier transform of surface–carried measures of two-dimensional generic surfaces and applications
Jean-Claude Cuenin and Robert Schippa
2022doi: 10.3934/cpaa.2022079 +[Abstract](129) +[HTML](48) +[PDF](456.35KB)
Asymptotic behavior of eigenvalues of the Maxwell system in the presence of small changes in the interface of an inclusion
Abdessatar Khelifi and Siwar Saidani
2022doi: 10.3934/cpaa.2022080 +[Abstract](210) +[HTML](166) +[PDF](486.56KB)
Asymptotic expansion of 2-dimensional gradient graph with vanishing mean curvature at infinity
Zixiao Liu and Jiguang Bao
2022doi: 10.3934/cpaa.2022081 +[Abstract](153) +[HTML](43) +[PDF](464.0KB)
Ground state solutions for asymptotically periodic nonlinearities for Kirchhoff problems
Edcarlos D. Silva and Jefferson S. Silva
2022doi: 10.3934/cpaa.2022082 +[Abstract](141) +[HTML](42) +[PDF](538.48KB)
Existence and uniqueness of radial solutions for Hardy-Hénon equations involving k-Hessian operators
Kods Hassine
2022doi: 10.3934/cpaa.2022084 +[Abstract](110) +[HTML](40) +[PDF](373.02KB)
Plateau-rayleigh instability of singular minimal surfaces
Rafael López
2022doi: 10.3934/cpaa.2022086 +[Abstract](110) +[HTML](55) +[PDF](590.07KB)
Non-convex sweeping processes in the space of regulated functions
Pavel Krejčí, Giselle Antunes Monteiro and Vincenzo Recupero
2022doi: 10.3934/cpaa.2022087 +[Abstract](144) +[HTML](34) +[PDF](537.68KB)
Strongly singular convective elliptic equations in $ \mathbb{R}^N $ driven by a non-homogeneous operator
Laura Gambera and Umberto Guarnotta
2022doi: 10.3934/cpaa.2022088 +[Abstract](133) +[HTML](32) +[PDF](499.33KB)
Hopf's lemmas for parabolic fractional p-Laplacians
Pengyan Wang and Wenxiong Chen
2022doi: 10.3934/cpaa.2022089 +[Abstract](111) +[HTML](37) +[PDF](367.82KB)
Limit cycle bifurcations by perturbing piecewise Hamiltonian systems with a nonregular switching line via multiple parameters
Yuan Chang and Yuzhen Bai
2022doi: 10.3934/cpaa.2022090 +[Abstract](114) +[HTML](34) +[PDF](476.89KB)
Freidlin-Wentzell's large deviation principle for stochastic integral evolution equations
Xiaomin Huang, Yanpei Jiang and Wei Liu
2022doi: 10.3934/cpaa.2022091 +[Abstract](146) +[HTML](43) +[PDF](476.65KB)
Systems of semilinear wave equations with multiple speeds in two space dimensions and a weaker null condition
Minggang Cheng and Soichiro Katayama
2022doi: 10.3934/cpaa.2022092 +[Abstract](127) +[HTML](29) +[PDF](470.71KB)
Local well-posedness to the 2D Cauchy problem of non-isothermal nonhomogeneous nematic liquid crystal flows with vacuum at infinity
Hong Chen and Xin Zhong
2022doi: 10.3934/cpaa.2022093 +[Abstract](97) +[HTML](61) +[PDF](534.96KB)
Application of the nonlinear steepest descent method to the general coupled nonlinear Schrödinger system
Mingming Chen, Xianguo Geng, Kedong Wang and Bo Xue
2022doi: 10.3934/cpaa.2022095 +[Abstract](105) +[HTML](30) +[PDF](473.99KB)
Existence of solutions for a class of quasilinear elliptic equations with a parameter
Ghulamullah Saeedi, Farhad Waseel and Hadia Jalal
2022doi: 10.3934/cpaa.2022096 +[Abstract](149) +[HTML](27) +[PDF](423.81KB)
Rank-one strange attractors versus heteroclinic tangles
Alexandre A. Rodrigues
2022doi: 10.3934/cpaa.2022097 +[Abstract](69) +[HTML](20) +[PDF](796.0KB)
Multiplicity of periodic solutions for second-order perturbed Hamiltonian systems with local superquadratic conditions
Yan Liu and Fei Guo
2022doi: 10.3934/cpaa.2022098 +[Abstract](64) +[HTML](18) +[PDF](435.07KB)
Threshold dynamics of a reaction-diffusion cholera model with seasonality and nonlocal delay
Wenjing Wu, Tianli Jiang, Weiwei Liu and Jinliang Wang
2022doi: 10.3934/cpaa.2022099 +[Abstract](65) +[HTML](22) +[PDF](484.5KB)
Circular average relative to fractal measures
Seheon Ham, Hyerim Ko and Sanghyuk Lee
2022doi: 10.3934/cpaa.2022100 +[Abstract](59) +[HTML](22) +[PDF](598.95KB)
A remark on the well-posedness for a system of quadratic derivative nonlinear Schrödinger equations
Hiroyuki Hirayama, Shinya Kinoshita and Mamoru Okamoto
2022doi: 10.3934/cpaa.2022101 +[Abstract](106) +[HTML](23) +[PDF](478.67KB)
Eventually expansive semiflows
Keonhee Lee and Arnoldo Rojas
2022doi: 10.3934/cpaa.2022102 +[Abstract](53) +[HTML](33) +[PDF](351.57KB)
Smooth solutions to asymptotic Plateau type problem in hyperbolic space
Zhenan Sui and Wei Sun
2022doi: 10.3934/cpaa.2022103 +[Abstract](49) +[HTML](18) +[PDF](374.57KB)
Energy-dissipation for time-fractional phase-field equations
Dong Li, Chaoyu Quan and Jiao Xu
2022doi: 10.3934/cpaa.2022104 +[Abstract](56) +[HTML](12) +[PDF](388.68KB)
On the exponential time-decay for the one-dimensional wave equation with variable coefficients
Anton Arnold, Sjoerd Geevers, Ilaria Perugia and Dmitry Ponomarev
2022doi: 10.3934/cpaa.2022105 +[Abstract](11) +[HTML](9) +[PDF](406.36KB)
On the exterior problem for parabolic k-Hessian equations
Ziwei Zhou and Jiguang Bao
2022doi: 10.3934/cpaa.2022106 +[Abstract](13) +[HTML](7) +[PDF](368.45KB)
On the optimal decay rate of the weakly damped wave equation
Monica Conti, Lorenzo Liverani and Vittorino Pata
2022doi: 10.3934/cpaa.2022107 +[Abstract](15) +[HTML](8) +[PDF](275.17KB)
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](6799) +[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](4323) +[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](4571) +[HTML](244) +[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](6102) +[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](5773) +[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](3452) +[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](5720) +[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](4234) +[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](4758) +[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](4973) +[PDF](395.6KB) Cited By(69)
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](5756) +[PDF](486.1KB) PDF Downloads(1289)
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](3119) +[HTML](91) +[PDF](419.64KB) PDF Downloads(1048)
Mean value properties and unique continuation
José G. Llorente
2015, 14(1) : 185-199 doi: 10.3934/cpaa.2015.14.185 +[Abstract](3445) +[PDF](427.4KB) PDF Downloads(1027)
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](4009) +[PDF](596.9KB) PDF Downloads(1023)
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](3417) +[HTML](113) +[PDF](356.11KB) PDF Downloads(708)
W1, p-estimates for elliptic equations with lower order terms
Byungsoo Kang and Hyunseok Kim
2017, 16(3) : 799-822 doi: 10.3934/cpaa.2017038 +[Abstract](3427) +[HTML](134) +[PDF](491.2KB) PDF Downloads(671)
On the Dirichlet boundary value problem for the normalized $p$-laplacian evolution
Agnid Banerjee and Nicola Garofalo
2015, 14(1) : 1-21 doi: 10.3934/cpaa.2015.14.1 +[Abstract](3565) +[PDF](486.2KB) PDF Downloads(655)
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](2501) +[HTML](171) +[PDF](356.02KB) PDF Downloads(617)
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](5278) +[HTML](375) +[PDF](342.33KB) PDF Downloads(587)
Kirchhoff type equations with strong singularities
Yijing Sun and Yuxin Tan
2019, 18(1) : 181-193 doi: 10.3934/cpaa.2019010 +[Abstract](4937) +[HTML](222) +[PDF](342.2KB) PDF Downloads(578)

2021 Impact Factor: 1.273
5 Year Impact Factor: 1.282
2021 CiteScore: 2.2

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