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Communications on Pure & Applied Analysis

December 2006 , Volume 5 , Issue 4

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An optimization problem for the first eigenvalue of the $p-$Laplacian plus a potential
Julián Fernández Bonder and Leandro M. Del Pezzo
2006, 5(4): 675-690 doi: 10.3934/cpaa.2006.5.675 +[Abstract](900) +[PDF](175.4KB)
Global well-posedness in Sobolev space implies global existence for weighted $L^2$ initial data for $L^2$-critical NLS
P. Blue and J. Colliander
2006, 5(4): 691-708 doi: 10.3934/cpaa.2006.5.691 +[Abstract](991) +[PDF](219.2KB)
On the Dirichlet problem for non-totally degenerate fully nonlinear elliptic equations
Martino Bardi and Paola Mannucci
2006, 5(4): 709-731 doi: 10.3934/cpaa.2006.5.709 +[Abstract](1145) +[PDF](230.3KB)
Renormalized solutions of an anisotropic reaction-diffusion-advection system with $L^1$ data
Mostafa Bendahmane and Kenneth H. Karlsen
2006, 5(4): 733-762 doi: 10.3934/cpaa.2006.5.733 +[Abstract](969) +[PDF](255.5KB)
Global solution to a phase transition model with microscopic movements and accelerations in one space dimension
Giovanna Bonfanti and Fabio Luterotti
2006, 5(4): 763-777 doi: 10.3934/cpaa.2006.5.763 +[Abstract](826) +[PDF](168.3KB)
The behavior of the solution for a mathematical model for analysis of the cell cycle
Yu-Hsien Chang and Guo-Chin Jau
2006, 5(4): 779-792 doi: 10.3934/cpaa.2006.5.779 +[Abstract](940) +[PDF](163.3KB)
Minimax and viscosity solutions of Hamilton-Jacobi equations in the convex case
Olga Bernardi and Franco Cardin
2006, 5(4): 793-812 doi: 10.3934/cpaa.2006.5.793 +[Abstract](1018) +[PDF](219.8KB)
On the uniqueness of ground state solutions of a semilinear equation containing a weighted Laplacian
C. Cortázar and Marta García-Huidobro
2006, 5(4): 813-826 doi: 10.3934/cpaa.2006.5.813 +[Abstract](961) +[PDF](160.6KB)
Convergence to stationary solutions for a parabolic-hyperbolic phase-field system
M. Grasselli, Hana Petzeltová and Giulio Schimperna
2006, 5(4): 827-838 doi: 10.3934/cpaa.2006.5.827 +[Abstract](1282) +[PDF](155.9KB)
Quasi-periodic solutions for 1D resonant beam equation
Zhenguo Liang and Jiansheng Geng
2006, 5(4): 839-853 doi: 10.3934/cpaa.2006.5.839 +[Abstract](963) +[PDF](184.0KB)
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](1647) +[PDF](102.3KB)
Second order conditions for the controllability of nonlinear systems with drift
Antonio Marigonda
2006, 5(4): 861-885 doi: 10.3934/cpaa.2006.5.861 +[Abstract](902) +[PDF](236.8KB)
Cauchy problem for the fifth order Kadomtsev-Petviashvili (KPII) equation
Pedro Isaza, Juan López and Jorge Mejía
2006, 5(4): 887-905 doi: 10.3934/cpaa.2006.5.887 +[Abstract](934) +[PDF](228.9KB)
Vorticity and regularity for flows under the Navier boundary condition
H. Beirão da Veiga
2006, 5(4): 907-918 doi: 10.3934/cpaa.2006.5.907 +[Abstract](958) +[PDF](147.2KB)
Some properties for the solutions of a general activator-inhibitor model
Shaohua Chen
2006, 5(4): 919-928 doi: 10.3934/cpaa.2006.5.919 +[Abstract](778) +[PDF](384.0KB)
Stability of some waves in the Boussinesq system
Claudia Valls
2006, 5(4): 929-939 doi: 10.3934/cpaa.2006.5.929 +[Abstract](806) +[PDF](160.1KB)
Existence of positive solutions for $p$--Laplacian problems with weights
Friedemann Brock, Leonelo Iturriaga, Justino Sánchez and Pedro Ubilla
2006, 5(4): 941-952 doi: 10.3934/cpaa.2006.5.941 +[Abstract](1333) +[PDF](168.7KB)
Approximate controllability and approximate null controllability of semilinear systems
Lianwen Wang
2006, 5(4): 953-962 doi: 10.3934/cpaa.2006.5.953 +[Abstract](1254) +[PDF](126.9KB)
Non-relativistic global limits of the entropy solutions to the relativistic Euler equations with $\gamma$-law
Yachun Li and Xucai Ren
2006, 5(4): 963-979 doi: 10.3934/cpaa.2006.5.963 +[Abstract](865) +[PDF](209.9KB)

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