Superlinear indefinite elliptic problems and Pohoz?aev type identities

[en] We prove the existence of a nontrivial solution for a nonlinear elliptic problem $-Delta u = mu u + a(x)g(u)$ with Dirichlet boundary condition on a bounded domain, where $g$ is superlinear both at zero and at infinity, $a(x)$ changes sign and $mu >0$.

Research center :

CREMMI - Modélisation mathématique et informatique

Disciplines :

Mathematics

Author, co-author :

Ramos, Miguel

Terracini, Susanna

Troestler, Christophe

Language :

German

Title :

Superlinear indefinite elliptic problems and Pohoz?aev type identities

Publication date :

10 November 1998

Journal title :

Journal of Functional Analysis

ISSN :

0022-1236

Publisher :

Elsevier, Atlanta, Georgia

Volume :

159

Issue :

Pages :

596-628

Peer reviewed :

Peer Reviewed verified by ORBi

Research unit :

S835 - Analyse numérique

Research institute :

R150 - Institut de Recherche sur les Systèmes Complexes

Available on ORBi UMONS :

since 31 January 2013

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Bibliography

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