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具临界指数的一类椭圆方程

A Class of Elliptic Equations on Arbitrary Eigenvalue,with the Sobolev Criticial Growth
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摘要 本文运用极小值原理给出了半线性椭圆方程-Δu=λ(x)u-|u|2*-2u+g(x,u)+h(x)(其中λ(x)∈[λ1,λk])的D irichlet问题解的存在性定理,这里次临界项g(x,u)关于u是非线性的. In this article, an existence theorem of non -trivial solution for a class of semilinear elliptic equations -△u = λu │u│^2*-2u + g(x, u) + h(x) lim u→∞ g(x,u)/│u│^2*-2u =0 ,λ∈[λ1, λk],is given.
机构地区 宜宾学院数学系
出处 《宜宾学院学报》 2007年第6期1-2,共2页 Journal of Yibin University
关键词 半线性椭圆方程 SOBOLEV临界指数 Difichlet问题 特征值 极小值原理 Semilinear Elliptic Equation Critial Sobolev Exponent Dirichlet Question Eigenvablue Least Action Printple.
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