The fractional Hartree equation without the Ambrosetti-Rabinowitz condition

被引：6

作者：

Francesconi, Mauro ^{[1
]}

Mugnai, Dimitri ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2017年 / 33卷

关键词：

Pseudo-relativistic Hartree equation; Superlinear reaction; Ambrosetti-Rabinowitz condition; COUPLED KLEIN-GORDON; SOLITARY WAVES; QUANTUM-MECHANICS; MAXWELL EQUATIONS; BOSON STARS; LAPLACIAN; NONEXISTENCE; EXISTENCE; COLLAPSE;

D O I：

10.1016/j.nonrwa.2016.07.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of pseudo-relativistic Hartree equations in presence of general nonlinearities not satisfying the Ambrosetti-Rabinowitz condition. Using variational methods based on critical point theory, we show the existence of two non trivial signed solutions, one positive and one negative. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：363 / 375

页数：13

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