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

Authors

Chunshan Zhao, Georgia Southern UniversityFollow

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.

Recommended Citation

Zhao, Chunshan. 2009. "Remark on Asymptotic Behaviors of Solutions to Quasi-Linear Elliptic Dirichlet Problem with Large Diffusion." Nonlinear Analysis: Theory, Methods & Applications, 70 (12): 4140-4144. doi: 10.1016/j.na.2008.08.019
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/248