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On a fractional magnetic Schr\'odinger equation in $\mathbb{R}$ with exponential critical growth

Authors :
Ambrosio, Vincenzo
Source :
Nonlinear Analysis (2019)
Publication Year :
2018

Abstract

We deal with a class of fractional magnetic Schr\"odinger equations in the whole line with exponential critical growth. Under a local condition on the potential, we use penalization methods and Ljusternik-Schnirelmann category theory to investigate the existence, multiplicity and concentration of nontrivial weak solutions.<br />Comment: arXiv admin note: text overlap with arXiv:1807.07444, arXiv:1801.00199, arXiv:1808.09295

Subjects

Subjects :
Mathematics - Analysis of PDEs

Details

Database :
arXiv
Journal :
Nonlinear Analysis (2019)
Publication Type :
Report
Accession number :
edsarx.1810.04560
Document Type :
Working Paper