Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613922 | Journal of Mathematical Analysis and Applications | 2016 | 23 Pages |
Abstract
The existence of at least three nontrivial smooth solutions to a semilinear Robin problem with indefinite potential and asymmetric nonlinearity super-linear at +∞ is established. Both crossing and resonance are allowed. Proofs exploit variational methods, truncation techniques, and Morse theory.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Salvatore A. Marano, Nikolaos S. Papageorgiou,