Asymptotically linear magnetic fractional problems
Analysis of PDEs
2023-12-08 v1
Abstract
The aim of this paper is investigating the existence and multiplicity of weak solutions to non--local equations involving the {\em magnetic fractional Laplacian}, when the nonlinearity is subcritical and asymptotically linear at infinity. We prove existence and multiplicity results by using variational tools, extending to the magnetic local and non--local setting some known results for the classical and the fractional Laplace operators.
Cite
@article{arxiv.2312.04473,
title = {Asymptotically linear magnetic fractional problems},
author = {Rossella Bartolo and Pietro d'Avenia and Giovanni Molica Bisci},
journal= {arXiv preprint arXiv:2312.04473},
year = {2023}
}
Comments
10 pages