On Critical Kirchhoff problems driven by the fractional Laplacian
Analysis of PDEs
2021-04-26 v1
Abstract
We study a nonlocal parametric problem driven by the fractional Laplacian operator combined with a Kirchhoff-type coefficient and involving a critical nonlinearity term in the sense of Sobolev embeddings. Our approach is of variational and topological nature. The obtained results can be viewed as a nontrivial extension to the nonlocal setting of some recent contributions already present in the literature.
Cite
@article{arxiv.2104.11608,
title = {On Critical Kirchhoff problems driven by the fractional Laplacian},
author = {Luigi Appolloni and Giovanni Molica Bisci and Simone Secchi},
journal= {arXiv preprint arXiv:2104.11608},
year = {2021}
}