Infinitely many spike solutions for the Henon equation with critical growth

被引：7

作者：

Hao, Jianghao ^{[1
]}

Chen, Xinfu ^{[2
]}

Zhang, Yajing ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 259卷 / 09期

基金：

美国国家科学基金会;

关键词：

Henon equation; Critical Sobolev exponents; Multi-peak; Spike; GROUND-STATE SOLUTIONS; ASYMPTOTIC-BEHAVIOR; SOBOLEV INEQUALITY; PEAK SOLUTIONS; PROFILE;

D O I：

10.1016/j.jde.2015.06.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Following the constructive method of Wei and Yan [22], with new ingredients to take care of n = 3, we prove the existence of infinitely many solutions of the Henon equation -Delta u = vertical bar x vertical bar(alpha)u(n+2/n-2) in the unit ball of R-n (n >= 3, alpha > 0) with the Dirichlet boundary condition. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：4924 / 4946

页数：23

共 50 条

[21] Infinitely many sign-changing solutions of a critical fractional equation
Abreu, Emerson
Barbosa, Ezequiel
Ramirez, Joel Cruz
ANNALI DI MATEMATICA PURA ED APPLICATA, 2022, 201 (02) : 861 - 901
[22] INFINITELY MANY SOLUTIONS FOR A CLASS OF CRITICAL CHOQUARD EQUATION WITH ZERO MASS
Gao, Fashun
Yang, Minbo
Santos, Carlos Alberto
Zhou, Jiazheng
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 54 (01) : 219 - 232
[23] Infinitely many solutions for a Henon-type system in hyperbolic space
da Cunha, Patricia Leal
Lemos, Flavio Almeida
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[24] INFINITELY MANY SOLUTIONS FOR A NONLINEAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV EXPONENT
CHEN, WX
ACTA MATHEMATICA SCIENTIA, 1991, 11 (02) : 128 - 135
[25] INFINITELY MANY SOLUTIONS FOR A NONLINEAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV EXPONENT
陈文雄
Acta Mathematica Scientia, 1991, (02) : 128 - 135
[26] Infinitely many positive solutions for an elliptic problem with critical or supercritical growth
Wei, Juncheng
Yan, Shusen
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2011, 96 (04): : 307 - 333
[27] Infinitely Many Solutions of Superlinear Elliptic Equation
Mao, Anmin
Li, Yang
ABSTRACT AND APPLIED ANALYSIS, 2013,
[28] On a fractional differential equation with infinitely many solutions
Dumitru Băleanu
Octavian G Mustafa
Donal O’Regan
Advances in Difference Equations, 2012
[29] ON THE INFINITELY MANY SOLUTIONS OF A SEMILINEAR ELLIPTIC EQUATION
JONES, C
KUPPER, T
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1986, 17 (04) : 803 - 835
[30] On a fractional differential equation with infinitely many solutions
Baleanu, Dumitru
Mustafa, Octavian G.
O'Regan, Donal
ADVANCES IN DIFFERENCE EQUATIONS, 2012,

← 1 2 3 4 5 →