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
收藏
页码：218 / 232
页数：15
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