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Communications on Pure & Applied Analysis

March 2013 , Volume 12 , Issue 2

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Existence of boundary blow up solutions for singular or degenerate fully nonlinear equations
Françoise Demengel and O. Goubet
2013, 12(2): 621-645 doi: 10.3934/cpaa.2013.12.621 +[Abstract](990) +[PDF](480.6KB)
The decay estimates of solutions for 1D compressible flows with density-dependent viscosity coefficients
Wuming Li, Xiaojun Liu and Quansen Jiu
2013, 12(2): 647-661 doi: 10.3934/cpaa.2013.12.647 +[Abstract](1128) +[PDF](379.8KB)
Nonexistence of positive solution for an integral equation on a Half-Space $R_+^n$
Yanqin Fang and Jihui Zhang
2013, 12(2): 663-678 doi: 10.3934/cpaa.2013.12.663 +[Abstract](1138) +[PDF](429.3KB)
Non degeneracy for solutions of singularly perturbed nonlinear elliptic problems on symmetric Riemannian manifolds
Marco Ghimenti and A. M. Micheletti
2013, 12(2): 679-693 doi: 10.3934/cpaa.2013.12.679 +[Abstract](954) +[PDF](403.3KB)
Quasilinear systems involving multiple critical exponents and potentials
Dongsheng Kang
2013, 12(2): 695-710 doi: 10.3934/cpaa.2013.12.695 +[Abstract](843) +[PDF](426.8KB)
Median values, 1-harmonic functions, and functions of least gradient
Matthew B. Rudd and Heather A. Van Dyke
2013, 12(2): 711-719 doi: 10.3934/cpaa.2013.12.711 +[Abstract](895) +[PDF](364.1KB)
Multiple positive solutions for Kirchhoff type problems with singularity
Xing Liu and Yijing Sun
2013, 12(2): 721-733 doi: 10.3934/cpaa.2013.12.721 +[Abstract](1232) +[PDF](356.6KB)
Long-time dynamics of the parabolic $p$-Laplacian equation
Pelin G. Geredeli and Azer Khanmamedov
2013, 12(2): 735-754 doi: 10.3934/cpaa.2013.12.735 +[Abstract](1055) +[PDF](397.2KB)
The Riemann problem of conservation laws in magnetogasdynamics
Yanbo Hu and Wancheng Sheng
2013, 12(2): 755-769 doi: 10.3934/cpaa.2013.12.755 +[Abstract](1251) +[PDF](415.3KB)
Existence of solutions for singularly perturbed Schrödinger equations with nonlocal part
Minbo Yang and Yanheng Ding
2013, 12(2): 771-783 doi: 10.3934/cpaa.2013.12.771 +[Abstract](1141) +[PDF](401.8KB)
Multiplicity results for a class of elliptic problems with nonlinear boundary condition
Patrick Winkert
2013, 12(2): 785-802 doi: 10.3934/cpaa.2013.12.785 +[Abstract](1049) +[PDF](436.0KB)
Some results on two-dimensional Hénon equation with large exponent in nonlinearity
Chunyi Zhao
2013, 12(2): 803-813 doi: 10.3934/cpaa.2013.12.803 +[Abstract](893) +[PDF](359.6KB)
Positive solutions to a Dirichlet problem with $p$-Laplacian and concave-convex nonlinearity depending on a parameter
Salvatore A. Marano and Nikolaos S. Papageorgiou
2013, 12(2): 815-829 doi: 10.3934/cpaa.2013.12.815 +[Abstract](1119) +[PDF](400.8KB)
Standing waves of nonlinear Schrödinger equations with optimal conditions for potential and nonlinearity
Soohyun Bae and Jaeyoung Byeon
2013, 12(2): 831-850 doi: 10.3934/cpaa.2013.12.831 +[Abstract](1059) +[PDF](467.6KB)
Local existence of strong solutions to the three dimensional compressible MHD equations with partial viscosity
Yu-Zhu Wang and Yin-Xia Wang
2013, 12(2): 851-866 doi: 10.3934/cpaa.2013.12.851 +[Abstract](910) +[PDF](404.3KB)
Generalized Schrödinger-Poisson type systems
Antonio Azzollini, Pietro d’Avenia and Valeria Luisi
2013, 12(2): 867-879 doi: 10.3934/cpaa.2013.12.867 +[Abstract](955) +[PDF](406.3KB)
A new class of $(H^k,1)$-rectifiable subsets of metric spaces
Roberta Ghezzi and Frédéric Jean
2013, 12(2): 881-898 doi: 10.3934/cpaa.2013.12.881 +[Abstract](887) +[PDF](456.0KB)
Local well-posedness of quasi-linear systems generalizing KdV
Timur Akhunov
2013, 12(2): 899-921 doi: 10.3934/cpaa.2013.12.899 +[Abstract](1061) +[PDF](524.1KB)
Remarks on the blow-up criterion for smooth solutions of the Boussinesq equations with zero diffusion
Yan Jia, Xingwei Zhang and Bo-Qing Dong
2013, 12(2): 923-937 doi: 10.3934/cpaa.2013.12.923 +[Abstract](1008) +[PDF](426.3KB)
Weak solutions for generalized large-scale semigeostrophic equations
Mahmut Çalik and Marcel Oliver
2013, 12(2): 939-955 doi: 10.3934/cpaa.2013.12.939 +[Abstract](1189) +[PDF](443.6KB)
A general stability result in a memory-type Timoshenko system
Salim A. Messaoudi and Muhammad I. Mustafa
2013, 12(2): 957-972 doi: 10.3934/cpaa.2013.12.957 +[Abstract](907) +[PDF](376.7KB)
Decay of solutions to fractal parabolic conservation laws with large initial data
Fengbai Li and Feng Rong
2013, 12(2): 973-984 doi: 10.3934/cpaa.2013.12.973 +[Abstract](866) +[PDF](376.1KB)
Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations
Renjun Duan and Xiongfeng Yang
2013, 12(2): 985-1014 doi: 10.3934/cpaa.2013.12.985 +[Abstract](1187) +[PDF](532.1KB)
Global attractors for strongly damped wave equations with subcritical-critical nonlinearities
Filippo Dell'Oro
2013, 12(2): 1015-1027 doi: 10.3934/cpaa.2013.12.1015 +[Abstract](1100) +[PDF](450.0KB)
The explicit nonlinear wave solutions of the generalized $b$-equation
Liu Rui
2013, 12(2): 1029-1047 doi: 10.3934/cpaa.2013.12.1029 +[Abstract](1020) +[PDF](2248.4KB)
Existence of a rotating wave pattern in a disk for a wave front interaction model
Jong-Shenq Guo, Hirokazu Ninomiya and Chin-Chin Wu
2013, 12(2): 1049-1063 doi: 10.3934/cpaa.2013.12.1049 +[Abstract](933) +[PDF](474.0KB)
Travelling wave solutions of a free boundary problem for a two-species competitive model
Chueh-Hsin Chang and Chiun-Chuan Chen
2013, 12(2): 1065-1074 doi: 10.3934/cpaa.2013.12.1065 +[Abstract](1126) +[PDF](391.7KB)
Qualitative analysis to the traveling wave solutions of Kakutani-Kawahara equation and its approximate damped oscillatory solution
Weiguo Zhang, Yan Zhao and Xiang Li
2013, 12(2): 1075-1090 doi: 10.3934/cpaa.2013.12.1075 +[Abstract](1024) +[PDF](470.3KB)
Limit cycles of non-autonomous scalar ODEs with two summands
José-Luis Bravo and Manuel Fernández
2013, 12(2): 1091-1102 doi: 10.3934/cpaa.2013.12.1091 +[Abstract](936) +[PDF](726.8KB)
Blow-up for semilinear parabolic equations with critical Sobolev exponent
Li Ma
2013, 12(2): 1103-1110 doi: 10.3934/cpaa.2013.12.1103 +[Abstract](1149) +[PDF](326.1KB)
Attractors in $H^2$ and $L^{2p-2}$ for reaction diffusion equations on unbounded domains
Ming Wang and Yanbin Tang
2013, 12(2): 1111-1121 doi: 10.3934/cpaa.2013.12.1111 +[Abstract](965) +[PDF](409.6KB)
Asymptotic behavior of the solutions of the inhomogeneous Porous Medium Equation with critical vanishing density
Sofía Nieto and Guillermo Reyes
2013, 12(2): 1123-1139 doi: 10.3934/cpaa.2013.12.1123 +[Abstract](842) +[PDF](449.7KB)
Uniform $L^1$-stability of the relativistic Boltzmann equation near vacuum
Seung-Yeal Ha, Eunhee Jeong and Robert M. Strain
2013, 12(2): 1141-1161 doi: 10.3934/cpaa.2013.12.1141 +[Abstract](940) +[PDF](446.9KB)

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