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Resonance Problems for a Class of Singular Elliptic Equations
Authors:K. Sreenadh
Affiliation:Department of Mathematics , Indian Institute of Technology Kanpur , Kanpur, 208 016, India
Abstract:In this article we study the resonance problems for Hardy-Sobolev operator $ L_{mu }:= -Delta _{p}-fraca {(mu }{|x|^{p})}, 0le mu lt {fraca {(N-p}{p} )},^{p} $ with unbounded nonlinearity. Existence of weak solutions is established using the minimax theorems in critical point theory.
Keywords:Resonance  p -Laplacian  Hardy-Sobolev Operator
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