Existence of infinitely many spike solutions for a critical Henon type biharmonic equation

被引：0

作者：

Zhang, Yajing ^{[1
]}

Chen, Xinfu ^{[2
]}

Hao, Jianghao ^{[1
]}

机构：

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

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 441卷 / 02期

关键词：

Bi-harmonic operator; Henon problem; Critical Sobolev exponents; Spike solution; INVARIANT 4TH-ORDER EQUATION; GROUND-STATE SOLUTIONS; CRITICAL GROWTH; ASYMPTOTIC-BEHAVIOR; POSITIVE SOLUTIONS; NONRADIAL SOLUTIONS; SOBOLEV INEQUALITY; ELLIPTIC-EQUATIONS; PEAK SOLUTIONS; EXPONENTS;

D O I：

10.1016/j.jmaa.2016.04.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Following the idea of Wei and Yan [32], with new ingredients to take care of the critical dimension n = 5, we construct infinitely many solutions of the biharmonic equation Delta(2)v = vertical bar x vertical bar alpha v(n+4/n-4) the unit ball of R-n (n >= 5, alpha > 0) with the Navier conditions v = Delta v = 0 on the boundary. (c) 2016 Elsevier Inc. All rights reserved.

引用

页码：844 / 861

页数：18

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