Dirichlet Problems with an Indefinite and Unbounded Potential and Concave-Convex Nonlinearities
Joint Authors
Papageorgiou, Nikolaos S.
Gasiński, Leszek
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-36, 36 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-06
Country of Publication
Egypt
No. of Pages
36
Main Subjects
Abstract EN
We consider a parametric semilinear Dirichlet problem with an unbounded and indefinite potential.
In the reaction we have the competing effects of a sublinear (concave) term and of a superlinear (convex) term.
Using variational methods coupled with suitable truncation techniques, we prove two multiplicity theorems for small values of the parameter.
Both theorems produce five nontrivial smooth solutions, and in the second theorem we provide precise sign information for all the solutions.
American Psychological Association (APA)
Gasiński, Leszek& Papageorgiou, Nikolaos S.. 2012. Dirichlet Problems with an Indefinite and Unbounded Potential and Concave-Convex Nonlinearities. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-36.
https://search.emarefa.net/detail/BIM-475915
Modern Language Association (MLA)
Gasiński, Leszek& Papageorgiou, Nikolaos S.. Dirichlet Problems with an Indefinite and Unbounded Potential and Concave-Convex Nonlinearities. Abstract and Applied Analysis No. 2012 (2012), pp.1-36.
https://search.emarefa.net/detail/BIM-475915
American Medical Association (AMA)
Gasiński, Leszek& Papageorgiou, Nikolaos S.. Dirichlet Problems with an Indefinite and Unbounded Potential and Concave-Convex Nonlinearities. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-36.
https://search.emarefa.net/detail/BIM-475915
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475915