On fractional (p, q)-Laplacian equations involving subcritical or critical Hardy exponents

被引：3
作者：
Fan, Zi-an [1 ]
机构：
[1] Hubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Peoples R China
来源：
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2022年 / 13卷 / 04期
关键词：
Fractional (p; q)-Laplacian equations; Variational methods; Nehari manifold; Critical Hardy nonlinearities; NEHARI MANIFOLD; LAPLACIAN; EXISTENCE;
D O I：
10.1007/s11868-022-00495-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study one fractional (p, q)-Laplacian equations with subcritical or critical Hardy exponents. We obtain some existence results using variational methods and Nehari manifold under two different cases.
引用
收藏
页数：17
相关论文
共 23 条
[1]   Fractional p&q Laplacian Problems in RN with Critical Growth [J].
Ambrosio, Vincenzo .
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2020, 39 (03) :289-314
[2]  
Ambrosio V, 2018, MEDITERR J MATH, V15, DOI 10.1007/s00009-018-1259-9
[3]  
Bhakta M, 2019, ADV DIFFERENTIAL EQU, V24, P185
[4]   A RELATION BETWEEN POINTWISE CONVERGENCE OF FUNCTIONS AND CONVERGENCE OF FUNCTIONALS [J].
BREZIS, H ;
LIEB, E .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 88 (03) :486-490
[5]   The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function [J].
Brown, KJ ;
Zhang, YP .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 193 (02) :481-499
[6]   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
[7]   Nonlocal problems with critical Hardy nonlinearity [J].
Chen, Wenjing ;
Mosconi, Sunra ;
Squassina, Marco .
JOURNAL OF FUNCTIONAL ANALYSIS, 2018, 275 (11) :3065-3114
[8]   Hitchhiker's guide to the fractional Sobolev spaces [J].
Di Nezza, Eleonora ;
Palatucci, Giampiero ;
Valdinoci, Enrico .
BULLETIN DES SCIENCES MATHEMATIQUES, 2012, 136 (05) :521-573
[9]   Positive solutions for the fractional Laplacian in the almost critical case in a bounded domain [J].
Figueiredo, Giovany M. ;
Siciliano, Gaetano .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 36 :89-100
[10]   The Nehari manifold for fractional Kirchhoff problems involving singular and critical terms [J].
Fiscella, Alessio ;
Mishra, Pawan Kumar .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 186 :6-32
123