Asymptotic Behaviors of a Class of N-Laplacian Neumann Problems with Large Diffusion

Chunshan Zhao

Asymptotic Behaviors of a Class of N-Laplacian Neumann Problems with Large Diffusion

Chunshan Zhao

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

<div class="line" id="line-5"> We study asymptotic behaviors of positive solutions to a class of Neumann elliptic problems in a bounded domain as the di&fflig;usion coe&ffilig;cient goes to in&filig;nity. At &filig;rst we study a subcritical case and &filig;nd that there is a uniform upper bound for all positive solutions and all of them will approach a constant as the di&fflig;usion coe&ffilig;cient approches in&filig;nity. Secondly, we study a critical case and show the same conclusions hold for least-energy solutions under some assumptions.</div>

Original language	American English
State	Published - Oct 26 2008
Event	Fall Southeastern Sectional Meeting of the American Mathematical Society (AMS) - Boca Raton, FL Duration: Nov 1 2009 → …

Conference

Conference	Fall Southeastern Sectional Meeting of the American Mathematical Society (AMS)
Period	11/1/09 → …

Disciplines

Mathematics

Keywords

Asymptotic behaviors
Neumann elliptic problems

Access to Document

https://www.ams.org/meetings/sectional/1044-35-9.pdf

Cite this

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title = "Asymptotic Behaviors of a Class of N-Laplacian Neumann Problems with Large Diffusion",

abstract = " We study asymptotic behaviors of positive solutions to a class of Neumann elliptic problems in a bounded domain as the di\&fflig;usion coe\&ffilig;cient goes to in\&filig;nity. At \&filig;rst we study a subcritical case and \&filig;nd that there is a uniform upper bound for all positive solutions and all of them will approach a constant as the di\&fflig;usion coe\&ffilig;cient approches in\&filig;nity. 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",

author = "Chunshan Zhao",

year = "2008",

month = oct,

day = "26",

language = "American English",

note = "Fall Southeastern Sectional Meeting of the American Mathematical Society (AMS) ; Conference date: 01-11-2009",

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TY - CONF

T1 - Asymptotic Behaviors of a Class of N-Laplacian Neumann Problems with Large Diffusion

AU - Zhao, Chunshan

PY - 2008/10/26

Y1 - 2008/10/26

N2 - We study asymptotic behaviors of positive solutions to a class of Neumann elliptic problems in a bounded domain as the di&fflig;usion coe&ffilig;cient goes to in&filig;nity. At &filig;rst we study a subcritical case and &filig;nd that there is a uniform upper bound for all positive solutions and all of them will approach a constant as the di&fflig;usion coe&ffilig;cient approches in&filig;nity. Secondly, we study a critical case and show the same conclusions hold for least-energy solutions under some assumptions.

AB - We study asymptotic behaviors of positive solutions to a class of Neumann elliptic problems in a bounded domain as the di&fflig;usion coe&ffilig;cient goes to in&filig;nity. At &filig;rst we study a subcritical case and &filig;nd that there is a uniform upper bound for all positive solutions and all of them will approach a constant as the di&fflig;usion coe&ffilig;cient approches in&filig;nity. Secondly, we study a critical case and show the same conclusions hold for least-energy solutions under some assumptions.

KW - Asymptotic behaviors

KW - Neumann elliptic problems

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpres/433/

M3 - Presentation

T2 - Fall Southeastern Sectional Meeting of the American Mathematical Society (AMS)

Y2 - 1 November 2009

ER -

Asymptotic Behaviors of a Class of N-Laplacian Neumann Problems with Large Diffusion

Abstract

Conference

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