Nonlinear biharmonic equations with negative exponents

被引：38

作者：

Choi, Y. S. ^{[1
]}

Xu, Xingwang ^{[2
]}

机构：

[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

[2] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 01期

关键词：

Conformally invariant equation; Symmetry; ZETA-FUNCTION DETERMINANTS; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; LOCAL BEHAVIOR; CLASSIFICATION; UNIQUENESS; SYMMETRY;

D O I：

10.1016/j.jde.2008.06.027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study global positive C-4 Solutions of the geometrically interesting equation: Delta(2)u + u(-q) = 0 with q > 0 in R-3. We will establish several existence and non-existence theorems, including the classification result for q = 7 with exactly linear growth condition. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：216 / 234

页数：19

共 26 条

[1] Self-similar solutions for the anisotropic affine curve shortening problem [J].