Concentration phenomena for fractional magnetic NLS equations
Analysis of PDEs
2021-05-11 v1
Abstract
We study the multiplicity and concentration of complex valued solutions for a fractional magnetic Schr\"odinger equation involving a scalar continuous electric potential satisfying a local condition and a continuous nonlinearity with subcritical growth. The main results are obtained by applying a penalization technique, generalized Nehari manifold method and Ljusternik-Schnirelman theory. We also prove a Kato's inequality for the fractional magnetic Laplacian which we believe to be useful in the study of other fractional magnetic problems.
Keywords
Cite
@article{arxiv.2105.04343,
title = {Concentration phenomena for fractional magnetic NLS equations},
author = {Vincenzo Ambrosio},
journal= {arXiv preprint arXiv:2105.04343},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2003.06155