Partial regularity of finite Morse index solutions to the Lane-Emden equation

被引：41

作者：

Davila, Juan ^{[2
,3
]}

Dupaigne, Louis ^{[1
]}

Farina, Alberto ^{[1
]}

机构：

[1] Univ Picardie, LAMFA, CNRS, UMR 6140, F-80039 Amiens, France

[2] Univ Chile, Dept Ingn Matemat, Santiago, Chile

[3] Univ Chile, CMM, Santiago, Chile

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2011年 / 261卷 / 01期

关键词：

Semilinear elliptic PDE; Lane-Emden equation; Partial regularity; Stability; NONLINEAR ELLIPTIC EQUATION; SUPERLINEAR PROBLEMS; WEAK SOLUTIONS; MANIFOLDS; BEHAVIOR; DOMAINS;

D O I：

10.1016/j.jfa.2010.12.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove regularity and partial regularity results for finite Morse index solutions u is an element of H-1 (Omega) boolean AND L-P(Omega) to the Lane-Emden equation -Delta u = vertical bar u vertical bar(P-1)u in Omega. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：218 / 232

页数：15

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