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Communications on Pure & Applied Analysis

September 2017 , Volume 16 , Issue 5

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Local well-posedness for 2-D Schrödinger equation on irrational tori and bounds on Sobolev norms
Seckin Demirbas
2017, 16(5): 1517-1530 doi: 10.3934/cpaa.2017072 +[Abstract](887) +[HTML](11) +[PDF](405.0KB)
Existence of multiple positive weak solutions and estimates for extremal values for a class of concave-convex elliptic problems with an inverse-square potential
Yaoping Chen and Jianqing Chen
2017, 16(5): 1531-1552 doi: 10.3934/cpaa.2017073 +[Abstract](957) +[HTML](19) +[PDF](415.9KB)
On uniform estimate of complex elliptic equations on closed Hermitian manifolds
Wei Sun
2017, 16(5): 1553-1570 doi: 10.3934/cpaa.2017074 +[Abstract](973) +[HTML](33) +[PDF](411.7KB)
Exponential boundary stabilization for nonlinear wave equations with localized damping and nonlinear boundary condition
Takeshi Taniguchi
2017, 16(5): 1571-1585 doi: 10.3934/cpaa.2017075 +[Abstract](901) +[HTML](14) +[PDF](402.6KB)
Multiple positive solutions for Schrödinger-Poisson system in $\mathbb{R}^{3}$ involving concave-convex nonlinearities with critical exponent
Miao-Miao Li and Chun-Lei Tang
2017, 16(5): 1587-1602 doi: 10.3934/cpaa.2017076 +[Abstract](1107) +[HTML](21) +[PDF](407.8KB)
Positive solutions for quasilinear Schrödinger equations in $\mathbb{R}^N$
Xiang-Dong Fang
2017, 16(5): 1603-1615 doi: 10.3934/cpaa.2017077 +[Abstract](1047) +[HTML](24) +[PDF](414.8KB)
Gevrey regularity and existence of Navier-Stokes-Nernst-Planck-Poisson system in critical Besov spaces
Minghua Yang and Jinyi Sun
2017, 16(5): 1617-1639 doi: 10.3934/cpaa.2017078 +[Abstract](986) +[HTML](19) +[PDF](529.3KB)
Existence and concentration for Kirchhoff type equations around topologically critical points of the potential
Yu Chen, Yanheng Ding and Suhong Li
2017, 16(5): 1641-1671 doi: 10.3934/cpaa.2017079 +[Abstract](1108) +[HTML](21) +[PDF](578.5KB)
Semilinear damped wave equation in locally uniform spaces
Martin Michálek, Dalibor Pražák and Jakub Slavík
2017, 16(5): 1673-1695 doi: 10.3934/cpaa.2017080 +[Abstract](1101) +[HTML](13) +[PDF](480.7KB)
A new second critical exponent and life span for a quasilinear degenerate parabolic equation with weighted nonlocal sources
Lingwei Ma and Zhong Bo Fang
2017, 16(5): 1697-1706 doi: 10.3934/cpaa.2017081 +[Abstract](978) +[HTML](16) +[PDF](399.4KB)
A direct method of moving planes for a fully nonlinear nonlocal system
Pengyan Wang and Pengcheng Niu
2017, 16(5): 1707-1718 doi: 10.3934/cpaa.2017082 +[Abstract](1084) +[HTML](16) +[PDF](399.8KB)
Scale-free and quantitative unique continuation for infinite dimensional spectral subspaces of Schrödinger operators
Matthias Täufer and Martin Tautenhahn
2017, 16(5): 1719-1730 doi: 10.3934/cpaa.2017083 +[Abstract](1124) +[HTML](16) +[PDF](422.8KB)
Low Mach number limit of the full compressible Hall-MHD system
Jishan Fan, Fucai Li and Gen Nakamura
2017, 16(5): 1731-1740 doi: 10.3934/cpaa.2017084 +[Abstract](1148) +[HTML](12) +[PDF](336.7KB)
Semilinear nonlocal elliptic equations with critical and supercritical exponents
Mousomi Bhakta and Debangana Mukherjee
2017, 16(5): 1741-1766 doi: 10.3934/cpaa.2017085 +[Abstract](1166) +[HTML](21) +[PDF](525.0KB)
On some local-nonlocal elliptic equation involving nonlinear terms with exponential growth
Sami Aouaoui
2017, 16(5): 1767-1784 doi: 10.3934/cpaa.2017086 +[Abstract](750) +[HTML](19) +[PDF](413.2KB)
Segregated vector Solutions for nonlinear Schrödinger systems with electromagnetic potentials
Jing Yang
2017, 16(5): 1785-1805 doi: 10.3934/cpaa.2017087 +[Abstract](893) +[HTML](16) +[PDF](470.3KB)
Layered solutions to the vector Allen-Cahn equation in $\mathbb{R}^2$. Minimizers and heteroclinic connections
Giorgio Fusco
2017, 16(5): 1807-1841 doi: 10.3934/cpaa.2017088 +[Abstract](1076) +[HTML](13) +[PDF](647.3KB)
Optimality conditions of the first eigenvalue of a fourth order Steklov problem
Monika Laskawy
2017, 16(5): 1843-1859 doi: 10.3934/cpaa.2017089 +[Abstract](977) +[HTML](15) +[PDF](365.0KB)
Global well-posedness of the two-dimensional horizontally filtered simplified Bardina turbulence model on a strip-like region
Luca Bisconti and Davide Catania
2017, 16(5): 1861-1881 doi: 10.3934/cpaa.2017090 +[Abstract](891) +[HTML](15) +[PDF](440.7KB)
Global dynamics of a microorganism flocculation model with time delay
Songbai Guo and Wanbiao Ma
2017, 16(5): 1883-1891 doi: 10.3934/cpaa.2017091 +[Abstract](896) +[HTML](18) +[PDF](404.7KB)
Dynamics of some stochastic chemostat models with multiplicative noise
T. Caraballo, M. J. Garrido-Atienza and J. López-de-la-Cruz
2017, 16(5): 1893-1914 doi: 10.3934/cpaa.2017092 +[Abstract](1161) +[HTML](32) +[PDF](6682.6KB)
Structure-preserving finite difference schemes for the Cahn-Hilliard equation with dynamic boundary conditions in the one-dimensional case
Takeshi Fukao, Shuji Yoshikawa and Saori Wada
2017, 16(5): 1915-1938 doi: 10.3934/cpaa.2017093 +[Abstract](1048) +[HTML](17) +[PDF](688.0KB)
Corrigendum to "On small data scattering of Hartree equations with short-range interaction" [Comm. Pure. Appl. Anal., 15 (2016), 1809-1823]
Yonggeun Cho, Gyeongha Hwang and Tohru Ozawa
2017, 16(5): 1939-1940 doi: 10.3934/cpaa.2017094 +[Abstract](800) +[HTML](16) +[PDF](271.9KB)

2017  Impact Factor: 0.884

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