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

共 50 条

[41] THE EXISTENCE OF NONTRIVIAL SOLUTIONS TO A SEMILINEAR ELLIPTIC SYSTEM ON RN WITHOUT THE AMBROSETTI-RABINOWITZ CONDITION
Li Gongbao
Wang Chunhua
ACTA MATHEMATICA SCIENTIA, 2010, 30 (06) : 1917 - 1936
[42] Ground state solution to N-Kirchhoff equation with critical exponential growth and without Ambrosetti-Rabinowitz condition
Gupta, Shilpa
Dwivedi, Gaurav
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (01) : 45 - 56
[43] The existence of solutions for an impulsive fractional coupled system of (p, q)-Laplacian type without the Ambrosetti-Rabinowitz condition
Li, Dongping
Chen, Fangqi
An, Yukun
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (05) : 1449 - 1464
[44] Existence result for fractional Schrodinger-Poisson systems involving a Bessel operator without Ambrosetti-Rabinowitz condition
Shen, Liejun
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (01) : 296 - 306
[45] Existence and Multiplicity of Solutions for p(x)-Curl Systems Without the Ambrosetti-Rabinowitz Condition
Ge Bin
Lu Jian-Fang
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (02)
[46] Existence of a nontrivial solution for the (p, q)-Laplacian in RN without the Ambrosetti-Rabinowitz condition
Chaves, Marcio Fialho
Ercole, Grey
Miyagaki, Olimpio Hiroshi
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 114 : 133 - 141
[47] Infinitely Many Solutions for Semilinear Δγ-Differential Equations in RN without the Ambrosetti-Rabinowitz Condition
Duong Trong Luyen
Le Thi Hong Hanh
MINIMAX THEORY AND ITS APPLICATIONS, 2020, 5 (01): : 7 - 18
[48] Existence of Solutions p(x) for Laplacian Equations Without Ambrosetti-Rabinowitz Type Condition
Yucedag, Zehra
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (03) : 1023 - 1033
[49] On (p(x), q(x))-Laplace equations in RN without Ambrosetti-Rabinowitz condition
Nastasi, Antonella
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (11) : 9042 - 9061
[50] The positive solutions to a quasi-linear problem of fractional p-Laplacian type without the Ambrosetti-Rabinowitz condition
Ge, Bin
Cui, Ying-Xin
Sun, Liang-Liang
Ferrara, Massimiliano
POSITIVITY, 2018, 22 (03) : 873 - 895

← 1 2 3 4 5 →