SOLUTIONS OF SUPERLINEAR ELLIPTIC-EQUATIONS AND THEIR MORSE INDEXES

被引：129

作者：

BAHRI, A

LIONS, PL

机构：

[1] RUTGERS STATE UNIV,NEW BRUNSWICK,NJ 08903

[2] UNIV PARIS 09,F-75576 PARIS 16,FRANCE

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1992年 / 45卷 / 09期

关键词：

D O I：

10.1002/cpa.3160450908

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider here solutions of semilinear second-order elliptic equations with superlinear nonlinearities. And we present some relationships between their Morse Indices and some qualitative properties. In particular we show that for, 'subcritical" nonlinearities, bounds on solutions are equivalent to bounds on their Morse indices.

引用

页码：1205 / 1215

页数：11

共 20 条

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