Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8054182 | Applied Mathematics Letters | 2017 | 9 Pages |
Abstract
We consider a semilinear Robin problem driven by the Laplacian plus an indefinite potential and with a Carathéodory reaction f(z,x) with no growth restriction on the x-variable. We only assume that f(z,â
) is odd and superlinear near zero. Using a variant of the symmetric mountain pass theorem, we show that the problem has a whole sequence of distinct smooth nodal solutions converging to the trivial one.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Nikolaos S. Papageorgiou, VicenÅ£iu D. RÄdulescu,