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Existence results for degenerate elliptic equations with critical cone Sobolev exponents
Authors:Haining FAN  Xiaochun LIU
Affiliation:1. School of Sciences, China University of Mining and Technology, Xuzhou 221116, China;2. Department of Mathematics, Wuhan University, Wuhan 430072, China;3. Department of Mathematics, Wuhan University, Wuhan 430072, China
Abstract:In this paper, we study the existence result for degenerate elliptic equations with singular potential and critical cone sobolev exponents on singular manifolds. With the help of the variational method and the theory of genus, we obtain several results under different conditions.
Keywords:existence results   variational method   critical cone Sobolev exponent   singular potential
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