一类奇异非线性的Lane-Emden-Fowler型问题

Q2 Mathematics

Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI:10.1215/KJM/1256219159

D. Covei

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引用次数: 8

摘要

本文的主要目的是建立关于−Δu(x)+ c(x)u(x)= a(x)f (u(x))， x∈rn, N >2, u(x)→0a s|x |→∞问题的存在性结果。类似的问题也被研究过。存在性的证明是基于极大值原理和上、下解方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Lane-Emden-Fowler type problem with singular nonlinearity

The main purpose of this article is to establish the existence result concerning to the problem −Δu(x )+ c(x)u(x )= a(x)f (u(x)), x ∈ R N , N> 2, u(x) → 0a s|x |→∞ . Similary problems have been also studied. The proofs of the existence are based on the maximum principle and sub and super solutions method.

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来源期刊

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.