EXISTENCE OF POSITIVE SOLUTIONS TO QUASI-LINEAR EQUATION INVOLVING CRITICAL SOBOLEV-HARDY EXPONENT

EXISTENCE OF POSITIVE SOLUTIONS TO QUASI-LINEAR EQUATION INVOLVING CRITICAL

SOBOLEV-HARDY EXPONENT

康东升

【期刊名称】《数学物理学报（英文版）》 【年(卷),期】2004(024)004

【摘要】This paper is concerned with the quasi-linear equation with critical SobolevHardy exponent where Ω RN(N ≥ 3) is a smooth bounded domain, 0 ∈Ω, 0 ≤ s ＜ p, 1 ＜ p ＜ N,p* (s) :=p(N- s)/N-p is the critical Sobolev-Hardy exponent, λ＞ 0,p ≤ r ＜ p* ,p* := Np/N-p is the critical Sobolev exponent, μ＞ 0, 0 ≤ t ＜ p, p ≤ q ＜ p* (t) = P(N-t)/N-p.The existence of a positive solution is proved by Sobolev-Hardy inequality and variational method. 【总页数】6页(639-644)

【关键词】Positive solution;quasi-linear equation;critical Sobolev-Hardy exponent;variational method 【作者】康东升

【作者单位】Department of Mathematics, South-Central University For Nationalitis, Wuhan 430074, China 【正文语种】中文 【中图分类】 【相关文献】

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