Superlinear Robin problems with indefinite linear part
Journal Title: Science, Technology and Innovation - Year 2018, Vol 2, Issue 1
Abstract
We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential and a superlinear reaction term which need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools we prove two theorems. An existence theorem producing a nontrivial smooth solution and a multiplicity theorem producing a whole unbounded sequence of nontrivial smooth solutions.<br/><br/>
Authors and Affiliations
Leszek Gasiński, Nikolaos S. Papageorgiou
Keywords
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- EP ID EP346517
- DOI 10.5604/01.3001.0012.0898
- Views 84
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