Asymptotic Behaviors of a Class of N-Laplacian Neumann Problems with Large Diffusion
Document Type
Presentation
Presentation Date
10-26-2008
Abstract or Description
We study asymptotic behaviors of positve solutions to a class of Neumann elliptic problems in bounded domain as diffusion coefficient goes to infinity. At first we study subcritical case and find that there is an uniform upper bound for all positive solutions and all of them will approach a constant as diffusion coefficient approaches infinity. Secondly, we study critical case and show same conclusions hold for least-energy solutions under some assumptions.
Sponsorship/Conference/Institution
Fall Southeastern Sectional Meeting of the American Mathematical Society (AMS)
Location
Huntsville, AL
Recommended Citation
Zhao, Chunshan.
2008.
"Asymptotic Behaviors of a Class of N-Laplacian Neumann Problems with Large Diffusion."
Department of Mathematical Sciences Faculty Presentations.
Presentation 433.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/433
