期刊文献+

用纤维方法研究一类带有Sobolev临界指数和Hardy项的半线性椭圆方程解的存在性问题

Existence of Solutions for Semilinear Elliptic Equations with Critical Sobolev Exponent and Hardy Terms via Fibering Method
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摘要 设Ω是Rn中的有界光滑区域,0∈,ΩN≥3,2*:=2NN-2是Sobo lev临界指数,通过Pohozaev提出的纤维方法,证明了当参数λ和μ满足一定条件时,带有D irich Let Ω belong R^n be a smooth hounded domain such that 0∈Ω, N≥3, 2*:=2N/N-2. By using the fibering method introduced by Pohozaev, we prove existence of solutions for a Dirichlet problem associated to a semilinear elliptic equations with critical sobolev exponent and hardy terms -△u-μ/|x|^2u=|u|^2*-2u+λu for suitable positive parameters λ and μ.
作者 徐彬 张正杰
出处 《中南民族大学学报(自然科学版)》 CAS 2006年第4期101-103,共3页 Journal of South-Central University for Nationalities:Natural Science Edition
基金 国家自然科学基金资助项目(10471052)
关键词 纤维方法 SOBOLEV临界指数 存在性 fibering method critical Sobolev exponents existenee
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参考文献5

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