Asymptotic behavior of solutions to a perturbed p-Laplacian problem with Neumann condition

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July 2005, 12(4): 595-606. doi: 10.3934/dcds.2005.12.595

Asymptotic behavior of solutions to a perturbed p-Laplacian problem with Neumann condition

Everaldo S. de Medeiros ^1, and Jianfu Yang ^2,

1.	Departamento de Matemática, Universidade Federal da Paraíba, 58059-900, João Pessoa - PB, Brazil
2.	Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, P.O. Box 71010, Wuhan, China

Received December 2003 Revised September 2004 Published January 2005

Abstract
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In this paper we investigate the existence and asymptotic behavior of positive solutions to a quasilinear elliptic problem with Neumann condition.

Keywords: Asymptotic behavior, Neumann boundary condition., p-Laplacian problem.

Mathematics Subject Classification: 35J20, 35J60, 35J6.

Citation: Everaldo S. de Medeiros, Jianfu Yang. Asymptotic behavior of solutions to a perturbed p-Laplacian problem with Neumann condition. Discrete & Continuous Dynamical Systems - A, 2005, 12 (4) : 595-606. doi: 10.3934/dcds.2005.12.595

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