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

[21] EXISTENCE OF A WEAK SOLUTION FOR DISCONTINUOUS ELLIPTIC PROBLEMS INVOLVING THE FRACTIONAL p(.)-LAPLACIAN [J].

Kim, In Hyoun ;

Bae, Jung-Hyun ;

Kim, Yun-Ho .

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (01) :89-103

[22] On the existence of solutions to a fractional (p, q)-Laplacian system on bounded domains [J].

Souissi, Chouhaid .

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2022, 8 (01) :231-253

[23] On a fractional (p,q)-Laplacian equation with critical nonlinearities [J].

Shen, Yansheng .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2025, 70 (04) :596-616

[24] A remark on the existence and multiplicity result for a nonlinear elliptic problem involving the p-Laplacian [J].

G. A. Afrouzi ;

S. H. Rasouli .

Nonlinear Differential Equations and Applications NoDEA, 2009, 16

[25] CRITICAL KIRCHHOFF-CHOQUARD SYSTEM INVOLVING THE FRACTIONAL p-LAPLACIAN OPERATOR AND SINGULAR NONLINEARITIES [J].

Sang, Yanbin .

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2021, 58 (01) :233-274

[26] Existence Results to Steklov System Involving the (p, q)-Laplacian [J].

Oubalhaj, Youness ;

Karim, Belhadj ;

Zerouali, Abdellah .

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41

[27] Existence of Multiple Solutions for a Quasilinear Elliptic System Involving Sign-Changing Weight Functions and Variable Exponent [J].

Chu, Ying ;

Cheng, Libo ;

Sun, Jiahui ;

Cheng, Yi .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (03)

[28] Existence result for semilinear elliptic systems involving critical exponents [J].

Khademloo, S. ;

Farzinejad, M. ;

Kohpar, O. Khazaee .

BOUNDARY VALUE PROBLEMS, 2012,

[29] Existence result for semilinear elliptic systems involving critical exponents [J].

S Khademloo ;

M Farzinejad ;

O Khazaee kohpar .

Boundary Value Problems, 2012

[30] Existence of multiple positive solutions for a p-q-Laplacian system with critical nonlinearities [J].

Yin, Honghui .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 403 (01) :200-214

← 1 2 3 4 5 →