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Presentation
Asymptotic Behaviors of a Class of N-Laplacian Neumann Problems with Large Diffusion
American Mathematical Society Southeastern Section Meeting, University of Alabama at Huntsville (2008)
  • Chunshan Zhao, Georgia Southern University
Abstract

We study asymptotic behaviors of positive solutions to a class of Neumann elliptic problems in a bounded domain as the diffusion coefficient goes to infinity. At first we study a subcritical case and find that there is a uniform upper bound for all positive solutions and all of them will approach a constant as the diffusion coefficient approches infinity. Secondly, we study a critical case and show the same conclusions hold for least-energy solutions under some assumptions.

Keywords
  • Asymptotic behaviors,
  • Neumann elliptic problems
Disciplines
Publication Date
Fall 2008
Citation Information
Chunshan Zhao. "Asymptotic Behaviors of a Class of N-Laplacian Neumann Problems with Large Diffusion" American Mathematical Society Southeastern Section Meeting, University of Alabama at Huntsville. Huntsville, AL. Oct. 2008.
source:http://www.ams.org/meetings/sectional/1044-35-9.pdf