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

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2021年 / 66卷 / 04期

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

页码：626 / 641

页数：16

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

← 1 2 3 4 →