p-Laplace equations with singular terms and p-superlinear perturbations
p-Laplace equations with singular terms and p-superlinear perturbations
We consider a nonlinear parametric Neumann problem driven by the p-Laplacian with a singular term and a Caratheodory perturbation whose primitive is p- superlinear near +∞ but needs not satisfy the Ambrosetti-Rabinowitz condition. We show that when the parameter λ>0 is small, the problem has at least two nontrivial positive …