Fractional Laplacian system involving doubly critical nonlinearities in RN

被引：8

作者：

Wang, Li ^{[1
]}

Zhang, Binlin ^{[2
]}

Zhang, Haijin ^{[1
]}

机构：

[1] East China Jiaotong Univ, Coll Sci, Nanchang 330013, Jiangxi, Peoples R China

[2] Heilongjiang Inst Technol, Dept Math, Harbin 150050, Heilongjiang, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2017年 / 57期

基金：

黑龙江省自然科学基金; 中国国家自然科学基金;

关键词：

fractional Laplacian system; doubly critical nonlinearities; variational methods; ELLIPTIC-EQUATIONS; EXISTENCE; MULTIPLICITY; CONSTANTS;

D O I：

10.14232/ejqtde.2017.1.57

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we are interested in a fractional Laplacian system in R-N, which involves critical Sobolev-type nonlinearities and critical Hardy-Sobolev-type nonlinearities. By using variational methods, we investigate the extremals of the corresponding best fractional Hardy-Sobolev constant and establish the existence of solutions. To our best knowledge, our main results are new in the study of the fractional Laplacian system.

引用

页码：1 / 17

页数：17

共 50 条

[1] A system of equations involving the fractional p-Laplacian and doubly critical nonlinearities
Bhakta, Mousomi
Perera, Kanishka
Firoj, S. K.
ADVANCED NONLINEAR STUDIES, 2023, 23 (01)
[2] Doubly Critical Problems Involving Fractional Laplacians in RN
Yang, Jianfu
Wu, Fengjie
ADVANCED NONLINEAR STUDIES, 2017, 17 (04) : 677 - 690
[3] THE NEHARI MANIFOLD FOR A FRACTIONAL LAPLACIAN EQUATION INVOLVING CRITICAL NONLINEARITIES
Wang, Qingfang
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018, 17 (06) : 2261 - 2281
[4] CRITICAL SYSTEM INVOLVING FRACTIONAL LAPLACIAN
Zhen, Maoding
He, Jinchun
Xu, Haoyun
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2019, 18 (01) : 237 - 253
[5] On p(z)-Laplacian System Involving Critical Nonlinearities
Aberqi, Ahmed
Bennouna, Jaouad
Benslimane, Omar
Ragusa, Maria Alessandra
JOURNAL OF FUNCTION SPACES, 2022, 2022
[6] Multiple Positive Solutions for a Fractional Laplacian System with Critical Nonlinearities
Qin Li
Zuodong Yang
Bulletin of the Malaysian Mathematical Sciences Society, 2018, 41 : 1879 - 1905
[7] Multiple Positive Solutions for a Fractional Laplacian System with Critical Nonlinearities
Li, Qin
Yang, Zuodong
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (04) : 1879 - 1905
[8] Elliptic problems involving the fractional Laplacian in RN
Autuori, Giuseppina
Pucci, Patrizia
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (08) : 2340 - 2362
[9] CRITICAL KIRCHHOFF-CHOQUARD SYSTEM INVOLVING THE FRACTIONAL p-LAPLACIAN OPERATOR AND SINGULAR NONLINEARITIES
Sang, Yanbin
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2021, 58 (01) : 233 - 274
[10] A critical Kirchhoff type problem involving the fractional p-Laplacian in RN
Xiang, Mingqi
Zhang, Binlin
Zhang, Xia
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (05) : 652 - 670

← 1 2 3 4 5 →