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全空间上一类带Hardy项的半线性椭圆方程 被引量:1

On a Semilinear Elliptic Equation with Hardy Potential and Critical Nonlinearities in R^N
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摘要 本文讨论如下一类半线性椭圆方程非平凡解的存在性.-Δu-μu/(|x|2)+u=|u|2*-2u+k(x)f(u),x∈RN,u∈H1(R^N),其中N≥3,0<μ<[(N-2)/2]2,2*=2N/(N-2),k(x)∈C(RN,R),函数f(u)关于自变量u在无穷远处渐近线性或者超线性. In this paper,we are concerned with the existence of the solution of the follow- ing nonlinear equation asymptotically linear or superlinear in u'as | u |→∞.
出处 《应用数学》 CSCD 北大核心 2012年第3期616-623,共8页 Mathematica Applicata
基金 数学天元青年基金(11126313) 中南财经政法大学引进人才科研启动基金(31540911209)
关键词 紧性 临界SOBOLEV指标 椭圆方程 Compactness Critical Sobolev exponent Elliptic equation
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