Existence of Four Solutions for the Elliptic Problem with Nonlinearity Crossing One Eigenvalue

Title
Existence of Four Solutions for the Elliptic Problem with Nonlinearity Crossing One Eigenvalue
Authors
최규흥
Keywords
elliptic boundary value problem; jumping nonlinearity; inverse compact operator; variational reduction method; Leray-Schauder degree theory
Issue Date
2013
Publisher
JOURNAL OF INEQUALITIES AND APPLICATIONS
Series/Report no.
JOURNAL OF INEQUALITIES AND APPLICATIONS; vol.2013 startpage 1 endpage 10
Abstract
We investigate the multiplicity of the weak solutions for the nonlinear elliptic boundary value problem. We get a theorem which shows the existence of at least four weak solutions for the asymptotically linear elliptic problem with Dirichlet boundary condition. We obtain this result by using the Leray-Schauder degree theory, the variational reduction method and critical point theory.
URI
http://dspace.inha.ac.kr/handle/10505/33266
ISSN
1029-242X
Appears in Collections:
College of Education(사범대학) > Mathematics Education (수학교육) > Journal Papers, Reports(수학교육 논문, 보고서)
Files in This Item:
35402.pdfDownload

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse