On a Robin problem with $p$-Laplacian and reaction bounded only from above
Analysis of PDEs
2015-01-05 v1
Abstract
The existence of three smooth solutions, one negative, one positive, and one nodal, to a homogeneous Robin problem with -Laplacian and Carath\'eodory reaction is established. No sub-critical growth condition is taken on. Proofs exploit variational as well as truncation techniques. The case is separately examined, obtaining a further nodal solution via Morse's theory.
Keywords
Cite
@article{arxiv.1501.00152,
title = {On a Robin problem with $p$-Laplacian and reaction bounded only from above},
author = {Salvatore A. Marano and Nikolaos S. Papageorgiou},
journal= {arXiv preprint arXiv:1501.00152},
year = {2015}
}