Asymptotic behavior of solutions for some nonlinear partial differential equations on unbounded domains

被引：0

作者：

Fleckinger, Jacqueline ^{[1
,2
]}

Harrell, Evans M., II ^{[3
]}

de Thelin, Francois ^{[4
]}

机构：

[1] Univ Toulouse 1, CEREMATH, F-31000 Toulouse, France

[2] Univ Toulouse 1, UMR MIP, F-31000 Toulouse, France

[3] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[4] Univ Toulouse 3, UMR MIP, F-31062 Toulouse, France

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年

关键词：

p-Laplacian; Riccati; uncertainty principle;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the asymptotic behavior of positive solutions u of -Delta(p)u(x) - V(x)u(x)(p-1), p > 1; x is an element of Omega, and related partial differential inequalities, as well as conditions for existence of such solutions. Here, Omega contains the exterior of a ball in R N 1 < p < N, Delta(p) is the p-Laplacian, and V is a nonnegative function. Our methods include generalized Riccati transformations, comparison theorems, and the uncertainty principle.

引用

页数：14

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