引用本文: | 周海银.正扰动下一类RN上临界增长的椭圆型方程的正解的存在性[J].国防科技大学学报,1993,15(1):90-96.[点击复制] |
Zhou Haiyin.The Existence of Positive Solutions of a Quasilinear Elliptic Equation on RN of Critical Increasing with Positive-perturbation[J].Journal of National University of Defense Technology,1993,15(1):90-96[点击复制] |
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正扰动下一类RN上临界增长的椭圆型方程的正解的存在性 |
周海银 |
(系统工程与应用数学系)
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摘要: |
本文讨论了如下方程:div(|Du|p-2Du) 十k (x) uP-1= K (x) up-1+g(x,u), u∈W1,P (RN),4≤P2≤N, P=NP/N-P,并得到了它的正解的存在性,其中 g(x,u) 为uP-1的低阶扰动。它是文[1]的继续。 |
关键词: 椭圆方程,正解,临界增长,正扰动,嵌入,弱收敛 |
DOI: |
投稿日期:1991-06-06 |
基金项目: |
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The Existence of Positive Solutions of a Quasilinear Elliptic Equation on RN of Critical Increasing with Positive-perturbation |
Zhou Haiyin |
(Department of Systems Engineering and Applied Mathcmatics)
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Abstract: |
This paper is concerned with the existence of positive solutions for the following problem: -div(|Du|p-2Du)+k (x) uP-1=K(x)uP-1+g(x,u),u∈W1,P (RN),4≤P2≤N,P=NP/N-p,where g (x,u) is a lower-order perturbation of up-1. It is the continuation of the zero-perturbation case. |
Keywords: elliptic differential equations,positive solution,critical increasing,positive-perturbation,embedding,weak-convergent |
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