In this paper we study the following nonlinear Schrödinger equation with magnetic field (equation presented) where ϵ > 0 is a parameter, V : R2 → R and A : R2 → R2 are continuous potentials, and f : R → R has exponential critical growth. Under a local assumption on the potential V, by variational methods, penalization technique, and Ljusternik-Schnirelmann theory, we prove multiplicity and concentration of solutions for ϵ small
Multiplicity and Concentration Results for a Magnetic Schrödinger Equation With Exponential Critical Growth in ℝ2 / D'Avenia, Pietro; Ji, Chao. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - STAMPA. - 2022:2(2022), pp. 862-897. [10.1093/imrn/rnaa074]
Multiplicity and Concentration Results for a Magnetic Schrödinger Equation With Exponential Critical Growth in ℝ2
d'Avenia, Pietro;
2022-01-01
Abstract
In this paper we study the following nonlinear Schrödinger equation with magnetic field (equation presented) where ϵ > 0 is a parameter, V : R2 → R and A : R2 → R2 are continuous potentials, and f : R → R has exponential critical growth. Under a local assumption on the potential V, by variational methods, penalization technique, and Ljusternik-Schnirelmann theory, we prove multiplicity and concentration of solutions for ϵ small| File | Dimensione | Formato | |
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