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Dirichlet problems with an indefinite and unbounded potential and concave-convex nonlinearities
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Dirichlet problems with an indefinite and unbounded ...
Bibliographic description
| title: | Dirichlet problems with an indefinite and unbounded potential and concave-convex nonlinearities |
| author: | Gasiński Leszek  , Papageorgiou Nikolaos S. |
| Journal title: | Abstract and Applied Analysis |
| volume: | 2012 |
| date of publication: | 2012 |
| article ID: | 492025 |
| ISSN: |
1085-3375 |
| eISSN: |
1687-0409 |
| DOI: | |
| language: | English |
| Journal language: | English |
| abstract in english: | 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. |
| affiliation: | Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania |
| type: | journal article |
| subtype: | academic paper |
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