Multiplicity results for critical $p$-Laplacian problems
Analysis of PDEs
2016-08-11 v1
Abstract
We prove the existence of distinct pairs of nontrivial solutions for critical -Laplacian problems in , as well as in bounded domains. To overcome the difficulties arising from the lack of compactness, we use a recent global compactness result of Mercuri and Willem.
Cite
@article{arxiv.1608.03266,
title = {Multiplicity results for critical $p$-Laplacian problems},
author = {Giuseppina Barletta and Pasquale Candito and Salvatore A. Marano and Kanishka Perera},
journal= {arXiv preprint arXiv:1608.03266},
year = {2016}
}