Morse theory for indefinite nonlinear elliptic problems

被引：12

作者：

Chang, Kung-Ching ^{[1
]}

Jiang, Mei-Yue ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2009年 / 26卷 / 01期

基金：

中国国家自然科学基金;

关键词：

MULTIPLE SOLUTIONS; GLOBAL-SOLUTIONS; HEAT-EQUATIONS; LINKING;

D O I：

10.1016/j.anihpc.2007.08.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the heat flow as a deformation, a Morse theory for the solutions of the nonlinear elliptic equation: -Delta u - lambda u = a(+)(x)vertical bar u vertical bar(q-1)u - a(x)vertical bar u vertical bar(p-1)u + h(x, u) in a bounded domain Omega subset of R-N with the Dirichlet boundary condition is established, where a(+/-) >= 0, supp(a(-)) boolean AND supp(a(+)) phi, supp(a(+)) not equal phi 1 < q < 2* - 1and p > 1. Various existence and multiplicity results of solutions are presented. (c) 2007 Elsevier Masson SAS. All rights reserved.

引用

页码：139 / 158

页数：20

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