Mathematical Sciences: Faculty Publications
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.
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
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