EXISTENCE OF POSITIVE SOLUTIONS TO QUASI-LINEAR EQUATION INVOLVING CRITICAL SOBOLEV-HARDY EXPONENT

被引：0

作者：

康东升

机构：

[1] Department of Mathematics

[2] South-Central University For Nationalitis

[3] Wuhan 430074

[4] China

来源：

ActaMathematicaScientia | 2004年 / 04期

基金：

中国国家自然科学基金;

关键词：

Positive solution; quasi-linear equation; critical Sobolev-Hardy exponent; variational method;

D O I：

暂无

中图分类号：

O151.2 [线性代数];

学科分类号：

070104 ;

摘要：

This paper is concerned with the quasi-linear equation with critical Sobolev-Hardy exponentwhere Ω (?) RN(N(?)3) is a smooth bounded domain, 0 ∈ Ω,0<s<p, 1<p< N,p (s) := p(N-s)/N-p is the critical Sobolev-Hardy exponent, λ> 0.p(?) r < p ,p’ := Np/N-p is the critical Sobolev exponent,μ> 0, 0(?)t < p,p(?)q < p (t) =p(N-t)/N-p. The existence of a positive solution is proved by Sobolev-Hardy inequality and variational method.

引用

页码：639 / 644

页数：6

共 50 条

[31] Existence of solutions to Kirchhoff type equations involving the nonlocal p1&...&pm fractional Laplacian with critical Sobolev-Hardy exponent
Chen, Wei
Van Thin, Nguyen
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, 67 (08) : 1931 - 1975
[32] THE EFFECT OF TOPOLOGY ON THE NUMBER OF POSITIVE SOLUTIONS OF ELLIPTIC EQUATION INVOLVING HARDY-LITTLEWOOD-SOBOLEV CRITICAL EXPONENT
Goel, Divya
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 54 (02) : 751 - 771
[33] INFINITELY MANY SOLUTIONS FOR A SINGULAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV-HARDY EXPONENTS IN RN
He Xiaoming
Zou Wenming
ACTA MATHEMATICA SCIENTIA, 2010, 30 (03) : 830 - 840
[34] Multiple solutions for nonhomogeneous Choquard equation involving Hardy–Littlewood–Sobolev critical exponent
Zifei Shen
Fashun Gao
Minbo Yang
Zeitschrift für angewandte Mathematik und Physik, 2017, 68
[35] Existence of global solutions and attractors for the parabolic equation with critical Sobolev and Hardy exponent in RN
Qian, Chenyin
Shen, Zifei
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 42 : 290 - 307
[36] The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent
Sang, Yanbin
Luo, Xiaorong
Wang, Yongqing
JOURNAL OF FUNCTION SPACES, 2018, 2018
[37] EXISTENCE OF SOLUTIONS TO THE PARABOLIC EQUATION WITH A SINGULAR POTENTIAL OF THE SOBOLEV-HARDY TYPE
韩军强
王永达
钮鹏程
ActaMathematicaScientia, 2012, 32 (05) : 1901 - 1918
[38] Multiple solutions to the Kirchhoff fractional equation involving Hardy–Littlewood–Sobolev critical exponent
Jichao Wang
Jian Zhang
Yujun Cui
Boundary Value Problems, 2019
[39] POSITIVE SOLUTIONS OF PERTURBED ELLIPTIC PROBLEMS INVOLVING HARDY POTENTIAL AND CRITICAL SOBOLEV EXPONENT
Zhang, Jing
Ma, Shiwang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2016, 21 (06): : 1999 - 2009
[40] EXISTENCE AND MULTIPLICITY FOR PERTURBATIONS OF AN EQUATION INVOLVING A HARDY INEQUALITY AND THE CRITICAL SOBOLEV EXPONENT IN THE WHOLE OF RN
Abdellaoui, B.
Peral, I.
Felli, V.
ADVANCES IN DIFFERENTIAL EQUATIONS, 2004, 9 (5-6) : 481 - 508

← 1 2 3 4 5 →