Klein-Gordon-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 & Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, Italy

[3] Albert Ludwigs Univ Freiburg, Abt Angew Math, Hermann Herder Str 10, D-79104 Freiburg, Germany

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

来源：

MILAN JOURNAL OF MATHEMATICS | 2023年 / 91卷 / 02期

关键词：

Nonlocal operators; Fractional operators; Variational methods; Critical points theory; Klein-Gordon-Maxwell system; GROUND-STATE SOLUTIONS; SOLITARY WAVES; SYSTEM; NONEXISTENCE; MULTIPLICITY; EXISTENCE; LIMIT;

D O I：

10.1007/s00032-023-00387-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Classical results concerning Klein-Gordon-Maxwell type systems are shortly reviewed and generalized to the setting of mixed local-nonlocal operators, where the nonlocal one is allowed to be nonpositive definite according to a real parameter. In this paper, we 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 in two different settings, by considering two different classes of potentials: constant potentials and continuous, bounded from below, and coercive potentials.

引用

页码：375 / 403

页数：29

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