Multiple solutions to a Robin problem with indefinite weight and asymmetric reaction
Analysis of PDEs
2015-06-09 v1
Abstract
The existence of two nontrivial smooth solutions to a semilinear Robin problem with indefinite unbounded potential and asymmetric nonlinearity is established. Both crossing and resonance are allowed. A third nonzero solution exists provided is . Proofs exploit variational methods, truncation techniques, and Morse theory.
Cite
@article{arxiv.1506.02391,
title = {Multiple solutions to a Robin problem with indefinite weight and asymmetric reaction},
author = {Giuseppina D'Aguì and Salvatore A. Marano and Nikolaos S. Papageorgiou},
journal= {arXiv preprint arXiv:1506.02391},
year = {2015}
}
Comments
29 pages