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.
On a fractional magnetic Schrödinger equation in R with exponential critical growth / Ambrosio, Vincenzo. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 183:(2019), pp. 117-148. [10.1016/j.na.2019.01.016]
On a fractional magnetic Schrödinger equation in R with exponential critical growth
Ambrosio, Vincenzo
2019-01-01
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.File in questo prodotto:
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