Existence of solutions for critical fractional p&q-Laplacian system

被引:7
作者
Chen, Wenjing [1 ]
机构
[1] Southwest Univ, Sch Math & Stat, Chongqing, Peoples R China
关键词
Fractional p&q-Laplacian system; critical exponent; existence of solutions; NEHARI MANIFOLD; POSITIVE SOLUTIONS; MULTIPLICITY; (P;
D O I
10.1080/17476933.2020.1734926
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we are concerned with the existence of solutions for the following critical fractional p&q-Laplacian system where omega is a smooth bounded set in , are two parameters, , , , and satisfy with is the fractional Sobolev critical exponent, and is the fractional t-Laplacian operator. By using variational methods, we show that there exists a nontrivial weak solution for system (1).
引用
收藏
页码:626 / 641
页数:16
相关论文
共 36 条
[1]   EXISTENCE, MULTIPLICITY AND CONCENTRATION FOR A CLASS OF FRACTIONAL p&q LAPLACIAN PROBLEMS IN RN [J].
Alves, Claudianor O. ;
Ambrosio, Vincenzo ;
Isernia, Teresa .
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2019, 18 (04) :2009-2045
[2]  
Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7
[3]  
Ambrosio V., ARXIV180110449
[4]  
Ambrosio V, 2018, MEDITERR J MATH, V15, DOI 10.1007/s00009-018-1259-9
[5]   Existence of least energy positive, negative and nodal solutions for a class of p&q-problems with potentials vanishing at infinity [J].
Barile, Sara ;
Figueiredo, Giovany Malcher .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 427 (02) :1205-1233
[6]  
Bhakta M, 2019, ADV DIFFERENTIAL EQU, V24, P185
[7]   GLOBAL COMPACTNESS RESULTS FOR NONLOCAL PROBLEMS [J].
Brasco, Lorenzo ;
Squassina, Marco ;
Yang, Yang .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2018, 11 (03) :391-424
[8]   Optimal decay of extremals for the fractional Sobolev inequality [J].
Brasco, Lorenzo ;
Mosconi, Sunra ;
Squassina, Marco .
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2016, 55 (02) :1-32
[9]  
Brezis H., 1983, ANAL FONCTIONELLE TH
[10]   On a class of critical (p, q)-Laplacian problems [J].
Candito, Pasquale ;
Marano, Salvatore A. ;
Perera, Kanishka .
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2015, 22 (06) :1959-1972