Weak solutions for a fractional equation in Rn with Kirchhoff terms

被引：6

作者：

Cammaroto, F. ^{[1
]}

Vilasi, L. ^{[1
]}

机构：

[1] Univ Messina, Dept Math & Comp Sci, Phys Sci & Earth Sci, Messina, Italy

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2016年 / 61卷 / 10期

关键词：

Kirchhoff problem; Schrodinger operator; fractional p-Laplacian; multiplicity; 35J60; 35R11; SCHRODINGER-EQUATION; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1080/17476933.2016.1177029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We explore the multiplicity of weak solutions to a nonlocal equation in R-n governed by a fractional power of the p-Laplacian combined with a Kirchhoff-type term. The nonlinearity involves two real parameters, one of which is of perturbing nature, and can overpower the critical fractional exponent. Our arguments rely upon the variational apparatus; the lack of compactness of the Sobolev embeddings is circumvented by the use of convenient weight functions.

引用

页码：1362 / 1374

页数：13

共 50 条

[31] Existence of weak solutions for Kirchhoff type double-phase problem in RN
Arora, Anupma
Dwivedi, Gaurav
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (06) : 4734 - 4755
[32] Existence of entire solutions to a fractional Liouville equation in Rn
Hyder, Ali
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2016, 27 (01) : 1 - 14
[33] On the Existence of Solutions for the Critical Fractional Laplacian Equation in RN
Shen, Zifei
Gao, Fashun
ABSTRACT AND APPLIED ANALYSIS, 2014,
[34] Infinitely many solutions for the stationary fractional p-Kirchhoff problems in RN
Akkoyunlu, Ebubekir
Ayazoglu, Rabil
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2019, 129 (05):
[35] Existence and multiplicity of solutions for fractional Schrodinger-p-Kirchhoff equations in RN
Tao, Huo
Li, Lin
Winkert, Patrick
FORUM MATHEMATICUM, 2025, 37 (02) : 373 - 398
[36] Multiple solutions for fractional Kirchhoff equation with critical or supercritical nonlinearity
Zhang, Limin
Tang, Xianhua
Chen, Sitong
APPLIED MATHEMATICS LETTERS, 2021, 119
[37] GROUND STATE SOLUTIONS FOR FRACTIONAL p-KIRCHHOFF EQUATION
Wang, Lixiong
Chen, Haibo
Yang, Liu
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 2022 (61)
[38] MULTIPLE CONCENTRATING SOLUTIONS FOR A FRACTIONAL KIRCHHOFF EQUATION WITH MAGNETIC FIELDS
Ambrosio, Vincenzo
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (02) : 781 - 815
[39] Existence of weak solutions for a fractional Schrodinger equation
Xu, Jiafa
Wei, Zhongli
Dong, Wei
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) : 1215 - 1222
[40] WEAK AND VISCOSITY SOLUTIONS OF THE FRACTIONAL LAPLACE EQUATION
Servadei, Raffaella
Valdinoci, Enrico
PUBLICACIONS MATEMATIQUES, 2014, 58 (01) : 133 - 154

← 1 2 3 4 5 →