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Communications on Pure & Applied Analysis

November 2009 , Volume 8 , Issue 6

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Global well-posedness for the $L^2$-critical Hartree equation on $\mathbb{R}^n$, $n\ge 3$
Myeongju Chae and Soonsik Kwon
2009, 8(6): 1725-1743 doi: 10.3934/cpaa.2009.8.1725 +[Abstract](832) +[PDF](257.1KB)
Multiplicity of solutions for elliptic systems via local Mountain Pass method
Claudianor O. Alves, Giovany M. Figueiredo and Marcelo F. Furtado
2009, 8(6): 1745-1758 doi: 10.3934/cpaa.2009.8.1745 +[Abstract](970) +[PDF](204.6KB)
On the geometric dependence of Riemannian Sobolev best constants
Ezequiel R. Barbosa and Marcos Montenegro
2009, 8(6): 1759-1777 doi: 10.3934/cpaa.2009.8.1759 +[Abstract](790) +[PDF](219.6KB)
Low dimensional instability for semilinear and quasilinear problems in $\mathbb{R}^N$
Daniele Castorina, Pierpaolo Esposito and Berardino Sciunzi
2009, 8(6): 1779-1793 doi: 10.3934/cpaa.2009.8.1779 +[Abstract](796) +[PDF](218.2KB)
Periodic solutions of a class of Newtonian equations
Dixiang Cheng, Zhengrong Liu and Xin Huang
2009, 8(6): 1795-1801 doi: 10.3934/cpaa.2009.8.1795 +[Abstract](752) +[PDF](122.3KB)
Almost cubic nonlinear Schrödinger equation: Existence, uniqueness and scattering
Alp Eden and Elİf Kuz
2009, 8(6): 1803-1823 doi: 10.3934/cpaa.2009.8.1803 +[Abstract](975) +[PDF](333.0KB)
Asymptotic analysis of a size-structured cannibalism model with infinite dimensional environmental feedback
József Z. Farkas and Thomas Hagen
2009, 8(6): 1825-1839 doi: 10.3934/cpaa.2009.8.1825 +[Abstract](1326) +[PDF](209.6KB)
Global cylindrical solution to the compressible MHD equations in an exterior domain
Ming He and Jianwen Zhang
2009, 8(6): 1841-1865 doi: 10.3934/cpaa.2009.8.1841 +[Abstract](982) +[PDF](327.5KB)
Global weak solutions for a viscous liquid-gas model with singular pressure law
Steinar Evje and Kenneth Hvistendahl Karlsen
2009, 8(6): 1867-1894 doi: 10.3934/cpaa.2009.8.1867 +[Abstract](1474) +[PDF](318.8KB)
Rigorous derivation of the Landau equation in the weak coupling limit
Kay Kirkpatrick
2009, 8(6): 1895-1916 doi: 10.3934/cpaa.2009.8.1895 +[Abstract](900) +[PDF](282.6KB)
Stabilization towards the steady state for a viscous Hamilton-Jacobi equation
Yuxiang Li
2009, 8(6): 1917-1924 doi: 10.3934/cpaa.2009.8.1917 +[Abstract](930) +[PDF](153.5KB)
Symmetry and monotonicity for a system of integral equations
Changlu Liu and Shuangli Qiao
2009, 8(6): 1925-1932 doi: 10.3934/cpaa.2009.8.1925 +[Abstract](1105) +[PDF](135.5KB)
On synchronization of oscillations of two coupled Berger plates with nonlinear interior damping
Olena Naboka
2009, 8(6): 1933-1956 doi: 10.3934/cpaa.2009.8.1933 +[Abstract](743) +[PDF](349.4KB)
Multiple solutions for nonlinear coercive Neumann problems
Sophia Th. Kyritsi and Nikolaos S. Papageorgiou
2009, 8(6): 1957-1974 doi: 10.3934/cpaa.2009.8.1957 +[Abstract](866) +[PDF](256.2KB)
Completely monotonic functions involving divided differences of the di- and tri-gamma functions and some applications
Feng Qi and Bai-Ni Guo
2009, 8(6): 1975-1989 doi: 10.3934/cpaa.2009.8.1975 +[Abstract](1690) +[PDF](245.4KB)
Global existence and exponential stability in $H^4$ for the nonlinear compressible Navier-Stokes equations
Yuming Qin, Lan Huang and Zhiyong Ma
2009, 8(6): 1991-2012 doi: 10.3934/cpaa.2009.8.1991 +[Abstract](908) +[PDF](219.8KB)
Elliptic systems involving critical growth in dimension two
Paulo Rabelo
2009, 8(6): 2013-2035 doi: 10.3934/cpaa.2009.8.2013 +[Abstract](885) +[PDF](259.3KB)
A logistic equation with refuge and nonlocal diffusion
J. García-Melián and Julio D. Rossi
2009, 8(6): 2037-2053 doi: 10.3934/cpaa.2009.8.2037 +[Abstract](997) +[PDF](249.2KB)

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