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

Abstract

We deal with a class of fractional magnetic Schrödinger 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.

arXiv admin note: text overlap with arXiv:1807.07444, arXiv:1801.00199, arXiv:1808.09295

References in corpus (2)

• Fractional elliptic problems with critical growth in the whole of ${\mathbb{R}}^n$
• Concentration phenomena for a fractional Schrödinger-Kirchhoff type equation

Cited by in corpus (1)

• Multiplicity of solutions for a class of fractional elliptic problem with critical exponential growth and nonlocal Neumann condition