Existence and stability of entire solutions to a semilinear fourth order elliptic problem

被引：25

作者：

Berchio, Elvise ^{[2
]}

Farina, Alberto ^{[1
]}

Ferrero, Alberto ^{[3
]}

Gazzola, Filippo ^{[2
]}

机构：

[1] Univ Picardie Jules Verne, Fac Math & Informat, LAMFA, CNRS UMR 6140, F-80039 Amiens, France

[2] Dipartimento Matemat Politecn, I-20133 Milan, Italy

[3] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20125 Milan, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 03期

关键词：

Biharmonic equations; Radial solutions; Stability; EXPONENTIAL NONLINEARITY; R-N; BIHARMONIC OPERATOR; STABLE-SOLUTIONS; HIGHER-ORDER; DELTA-U; EQUATIONS; CLASSIFICATION; E(U);

D O I：

10.1016/j.jde.2011.09.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a semilinear biharmonic equation with exponential nonlinearity, we study the existence and the asymptotic behavior of entire solutions. Furthermore, their stability and stability outside a compact set of R-n (n >= 2) is discussed in any space dimension n. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2596 / 2616

页数：21