Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials

被引：35

作者：

Bhakta, Mousomi ^{[2
]}

Musina, Roberta ^{[1
]}

机构：

[1] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy

[2] TIFR Ctr Applicable Math, Bangalore 560065, Karnataka, India

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 09期

关键词：

Caffarelli-Kohn-Nirenberg type inequalities; Weighted biharmonic operator; Dilation invariance; Breaking symmetry; INEQUALITIES; EQUATIONS; SYMMETRY;

D O I：

10.1016/j.na.2012.02.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study existence, multiplicity and qualitative properties of entire solutions for a noncompact problem related to second-order interpolation inequalities with weights. More precisely, we deal with the following family of equationsis Delta(2)u =lambda vertical bar x vertical bar(-4)u + vertical bar x vertical bar(-beta)vertical bar u vertical bar(q-2)u in R-N, where N >= 5,q > 2,beta = N - q( N - 4)/2 and lambda is an element of R is smaller than the Rellich constant. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：3836 / 3848

页数：13