We investigate the existence and multiplicity of weak solutions u W01,p(Ω) to the degenerate quasilinear Dirichlet boundary value problem
(P) , where ζ is a parameter. It is assumed that 1
Keywords :
nonlinear eigenvalue problem , degenerate orsingular quasilinear Dirichlet problem , Fredholm alternative , p-Laplacian , second-orderTaylor formula. , Global minimizer