Title

Remark on Asymptotic Behaviors of Solutions to Quasi-Linear Elliptic Dirichlet Problem with Large Diffusion

Document Type

Article

Publication Date

6-15-2009

Publication Title

Nonlinear Analysis: Theory, Methods & Applications

DOI

10.1016/j.na.2008.08.019

ISSN

0362-546X

Abstract

We study asymptotic behaviors of nontrivial solutions to the Dirichlet problem of a quasi-linear elliptic equation and obtain a lower bound for growth of L-norm of the solutions, which implies the L-norm of the solutions goes to infinity as the diffusion coefficient goes to infinity.

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