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OALib Journal期刊
ISSN: 2333-9721
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Multiple Nontrival Solutions for Semilinear Elliptic Equations with Hardy Critical Exponent in Unbounded Domain
界域上具Hardy临界指数项的半线性椭圆方程的多解存在性

Keywords: Multiple solutions,critical exponent,(P,S,)condition
多解
,临界指数,(P.S.)条件

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Abstract:

We investigate a class of semilinear elliptic equations with Hardy critical exponent in an unbounded domain.With the aids of the pseudoindex theory,multiple nontrivial solutions are obtained by proving local(P.S.) conditions and estimating the energy carefully.

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