Schrödinger-Maxwell equations driven by mixed local-nonlocal operators

被引：3

作者：

Cangiotti, Nicolo ^{[1
]}

Caponi, Maicol ^{[2
]}

Maione, Alberto ^{[3
]}

Vitillaro, Enzo ^{[4
]}

机构：

[1] Politecn Milan, Dept Math, Via Bonardi 9,Campus Leonardo, I-20133 Milan, Italy

[2] Univ Napoli Federico II, Dipartimento Matemat & Applicazioni R Caccioppoli, Via Cintia,Monte S Angelo, I-80126 Naples, Italy

[3] Ctr Recerca Matemat, Edif C,Campus Bellaterra, Bellaterra 08193, Spain

[4] Univ Perugia, Dipartimento Matemat & Informat DMI, Via Luigi Vanvitelli 1, I-06123 Perugia, Italy

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2024年 / 27卷 / 02期

关键词：

Nonlocal operators; fractional operators; variational methods; critical points theory; Schrodinger-Maxwell system; KLEIN-GORDON-MAXWELL;

D O I：

10.1007/s13540-024-00251-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove existence of solutions to Schrodinger-Maxwell type systems involving mixed local-nonlocal operators. Two different models are considered: classical Schrodinger-Maxwell equations and Schrodinger-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.

引用

页码：677 / 705

页数：29

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