Multiplicity of positive solutions for nonlinear singular Neumann problems

Sergiu Aizicovici, Nikolaos S. Papageorgiou, Vasile Staicu


We consider a nonlinear Neumann problem driven by the p-Laplacian and a reaction which consists of a singular term plus a (p-1) - linear perturbation which is resonant at +∞ with respect to the principal eigenvalue. Using variational methods together with suitable truncation, comparison and approximation techniques, we show that the problem admits two positive smooth solutions.


Singular term, resonance, nonlinear regularity, truncations, nonlinear maximum principle, local minimizer.

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