Blow-up analysis of a Finsler-Liouville equation in two dimensions

被引：46

作者：

Wang, Guofang ^{[1
]}

Xia, Chao ^{[1
]}

机构：

[1] Univ Freiburg, Math Inst, D-79104 Freiburg, Germany

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 02期

关键词：

Finsler-Laplacian; Finsler-Liouville equation; Blow-up analysis; MEAN-FIELD EQUATION; EXISTENCE; BEHAVIOR; MULTIVORTICES; INEQUALITY; CURVATURE;

D O I：

10.1016/j.jde.2011.08.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish a blow-up analysis for the Fins Finsler-Liouville equation - Q u = V (x)e(u) in two dimensions. Here the operator Q is the so-called Finsler-Laplacian, which is a generalized Laplacian. As a byproduct, we obtain an existence result. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1668 / 1700

页数：33

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