Schrödinger-Maxwell equations driven by mixed local-nonlocal operators-Reference-Cited by-同舟云学术

Schrödinger-Maxwell equations driven by mixed local-nonlocal operators

Published:2024-02-26 Issue:2 Volume:27 Page:677-705
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:Fract Calc Appl Anal

Author:

Cangiotti Nicolò,Caponi Maicol,Maione Alberto,Vitillaro Enzo^ORCID

Abstract

AbstractIn this paper we prove existence of solutions to Schrödinger-Maxwell type systems involving mixed local-nonlocal operators. Two different models are considered: classical Schrödinger-Maxwell equations and Schrödinger-Maxwell equations with a coercive potential, and the main novelty is that the nonlocal part of the operator is allowed to be nonpositive definite according to a real parameter. We then provide a range of parameter values to ensure the existence of solitary standing waves, obtained as Mountain Pass critical points for the associated energy functionals.

Funder

Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni

Ministero dell’Istruzione, dell’Università e della Ricerca

Università degli Studi di Napoli

DFG SPP 2256

Agenzia Nazionale di Valutazione del Sistema Universitario e della Ricerca

Università degli Studi di Perugia

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s13540-024-00251-x.pdf

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