Liouville theorems for elliptic systems and applications

被引：10

作者：

D'Ambrosio, Lorenzo ^{[1
]}

Mitidieri, Enzo ^{[2
]}

机构：

[1] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy

[2] Univ Trieste, Dipartimento Matemat & Geosci, I-34127 Trieste, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 413卷 / 01期

关键词：

Quasi linear elliptic systems; A priori estimates; Allen-Cahn equation; Ginzburg-Landau systems; Gross-Pitaevskii systems; Lichnerowicz's type equations; POSITIVE SOLUTIONS; INEQUALITIES; EQUATIONS;

D O I：

10.1016/j.jmaa.2013.11.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let u be a solution of the system of PDE L(u) = f(u) in R-N, where L is a quasilinear second order elliptic operator in divergence form and f a given function. Our aim is to find uniform bounds for all possible solutions u of the system. In this paper we prove some bounds which are universal, in the sense that they are related only to the zeros of the nonlinearity I. Among others, the results apply to Allen-Cahn equation, Ginzburg-Landau systems, Gross-Pitaevskii systems and Lichnerowicz's type equations. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：121 / 138

页数：18

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