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

Document Type

Presentation

Presentation Date

10-1-2011

Abstract or Description

In this talk, I will talk about asymptotic behaviors of nontrivial solutions to the Dirichlet problem of a quasi-linear elliptic equation. The main result is to 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.

Sponsorship/Conference/Institution

Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE)

Location

Statesboro, GA

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