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Existence of positive solutions on indefinite superlinear elliptic equations

Authors :
Afrouzi, G.A.
Source :
Applied Mathematics & Computation. Oct2004, Vol. 157 Issue 3, p841-848. 8p.
Publication Year :
2004

Abstract

In this paper we show that ifwhere <f>D</f> is a bounded region in <f>RN</f>; <f>1<r<(N+2)/(N-2)</f>, and <f>h</f> is a function which changes sign in <f>D</f>, has a positive solution for a function <f>f</f> it continues to have a positive solution provided that <f>f</f> is suitably perturbed. [Copyright &y& Elsevier]

Subjects

Subjects :
*EIGENFUNCTIONS
*NUMERICAL solutions to integral equations
*NUMERICAL solutions to boundary value problems
*NUMERICAL solutions to differential equations
*ELLIPTIC functions

Details

Language :
English
ISSN :
00963003
Volume :
157
Issue :
3
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
14430015
Full Text :
https://doi.org/10.1016/j.amc.2003.08.108
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