Positive Solutions to a Class of Elliptic Boundary Value Problems

Positive Solutions to a Class of Elliptic Boundary Value Problems
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DOI:
10.1006/jmaa.1998.6095
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发表时间:
1998-11
影响因子:
1.3
通讯作者:
D. Hai
D. Hai
中科院分区:
数学3区
文献类型:
--
作者:
D. Hai

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本文证明了边值问题[公式]正解的存在性,其中Ω是RN中的有界区域,a:Ω → R可以变号,f(0)> 0,且λ > 0充分小。我们的方法是基于Leray-Schauder不动点定理。
Abstract We prove the existence of positive solutions to the boundary value problems[formula]where Ω is a bounded domain inRN,a: Ω → Rmay change sign,f(0) > 0, and λ > 0 is sufficiently small. Our approach is based on the Leray–Schauder fixed point theorem.