Positive solutions of anisotropic Yamabe-type equations in Rn

被引：3

作者：

Monti, Roberto ^{[1
]}

Morbidelli, Daniele ^{[2
]}

机构：

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35121 Padua, Italy

[2] Univ Bologna, Dipartmento Matemat, I-40127 Bologna, Italy

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 12期

关键词：

D O I：

10.1090/S0002-9939-08-09579-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study entire positive solutions to the partial differential equation in R-n, Delta(x)u + (alpha + 1)(2) |x|(2 alpha) Delta(y)u = -|x|(2 alpha)u n+2/n-2, where x is an element of R-2, y is an element of Rn-2, n >= 3 and alpha > 0. We classify positive solutions with second order derivatives satisfying a suitable growth near the set x = 0.

引用

页码：4295 / 4304

页数：10

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