Multiplicity of positive solutions to semilinear elliptic boundary value problems

We study semilinear elliptic boundary value problems of one parameter dependence where the number of positive solutions is discussed. Our main purpose is to characterize the critical value given by the infimum of such parameters for which positive solutions exist. Our approach is based on super- and...

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Bibliographic Details
Main Author: Kenichiro Umezu
Format: Article
Language:English
Published: Hindawi Limited 1999-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337599000147