Resonance Problems for a Class of Singular Elliptic Equations

In this article we study the resonance problems for Hardy-Sobolev operator $ L_{\mu }:= -\Delta _{p}-\fraca {(\mu }{|x|^{p})}, 0\le \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