An existence result for a fractional elliptic system involving (p,q)-Laplacian and critical exponent

被引：2

作者：

Zhang, Aini ^{[1
]}

Deng, Zhiying ^{[1
]}

机构：

[1] Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2023年 / 68卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Fractional (p; q)-Laplacian system; Nehari manifold; nontrivial solution; critical exponent; POSITIVE SOLUTIONS; MULTIPLICITY; EQUATION; CONCAVE;

D O I：

10.1080/17476933.2021.2018424

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is dedicated to studying a fractional elliptic system involving (p,q)-Laplacian and critical exponent. Based upon the Nehari manifold and fibering maps, we prove a nontrivial solution for the problem under the proper conditions.

引用

页码：746 / 762

页数：17

共 50 条

[1] Existence of Solutions for the Fractional (p, q)-Laplacian Problems Involving a Critical Sobolev Exponent
Fanfan Chen
Yang Yang
Acta Mathematica Scientia, 2020, 40 : 1666 - 1678
[2] EXISTENCE OF SOLUTIONS FOR THE FRACTIONAL (p, q)-LAPLACIAN PROBLEMS INVOLVING A CRITICAL SOBOLEV EXPONENT
陈帆帆
杨阳
Acta Mathematica Scientia, 2020, 40 (06) : 1666 - 1678
[3] EXISTENCE OF SOLUTIONS FOR THE FRACTIONAL (p, q)-LAPLACIAN PROBLEMS INVOLVING A CRITICAL SOBOLEV EXPONENT
Chen, Fanfan
Yang, Yang
ACTA MATHEMATICA SCIENTIA, 2020, 40 (06) : 1666 - 1678
[4] An Existence Result for a Fractional Critical (p, q)-Laplacian Problem with Discontinuous Nonlinearity
Vincenzo Ambrosio
Daniela Di Donato
Mediterranean Journal of Mathematics, 2023, 20
[5] An Existence Result for a Fractional Critical (p, q)-Laplacian Problem with Discontinuous Nonlinearity
Ambrosio, Vincenzo
Di Donato, Daniela
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (05)
[6] AN EXISTENCE RESULT FOR NONLINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL SOBOLEV EXPONENT
CAPOZZI, A
FORTUNATO, D
PALMIERI, G
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1985, 2 (06): : 463 - 470
[7] Existence of solutions for critical fractional p&q-Laplacian system
Chen, Wenjing
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2021, 66 (04) : 626 - 641
[8] Existence result for a gradient-type elliptic system involving a pair of p(x) and q(x)-Laplacian operators
Velin, J.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2016, 61 (05) : 644 - 681
[9] An existence result for super-critical problems involving the fractional p-Laplacian in RN
Wu, Zijian
Chen, Haibo
APPLIED MATHEMATICS LETTERS, 2023, 135
[10] On a non-existence result involving the fractional p-Laplacian
Louis-Rose, Carole
Velin, Jean
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2015, 6 (02): : 345 - 355

← 1 2 3 4 5 →