Some nonexistence results for positive solutions of elliptic equations in unbounded domains

被引：7

作者：

Damascelli, L

Gladiali, F

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2004年 / 20卷 / 01期

关键词：

Liouville theorems; Kelvin transform; maximum principle; moving plane;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some Liouville type theorems for positive solutions of semilinear elliptic equations in the whole space R-N, N greater than or equal to 3, and in the half space R-+(N) with different boundary conditions, using the technique based on the Kelvin transform and the Alexandrov-Serrin method of moving hyperplanes. In particular we get new nonexistence results for elliptic problems in half spaces satisfying mixed (Dirichlet-Neumann) boundary conditions.

引用

页码：67 / 86

页数：20

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