EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS OF INHOMOGENEOUS SEMILINEAR ELLIPTIC PROBLEMS IN UNBOUNDED-DOMAINS

被引：52

作者：

ZHU, XP ^{[1
]}

ZHOU, HS ^{[1
]}

机构：

[1] ACAD SINICA,WUHAN INST MATH SCI,WUHAN 430071,PEOPLES R CHINA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1990年 / 115卷

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1017/S0308210500020667

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the concentration-compactness method of Lions [14,16] and the mountain pass theorem of Ambrosetti and Rabinowitz [3], through a careful inspection of the energy balance for some sequence of approximated solutions, we show that under suitable conditions on f and h, the inhomogeneous problem −Δu + c2u = λ(f(u) + h(x)) for x ∈ Ω (Ω is an exterior domain in ∝N, N ≥ 3) and u ∈ H10(Ω) has at least two positive solutions. © 1990, Royal Society of Edinburgh. All rights reserved.

引用

页码：301 / 318

页数：18

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