We consider a nonlinear nonparametric Dirichlet problem driven by the sum of a p-Laplacian and of a Laplacian (a (p, 2)-equation) and a reaction which involves a singular term and a (p- 1) -superlinear perturbation. Using variational tools and suitable truncation and comparison techniques, we show that the problem has two positive smooth solutions.
Papageorgiou, N.S., Vetro, C., Vetro, F. (2019). Positive solutions for singular (p, 2)-equations. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 70(3), 1-10 [10.1007/s00033-019-1117-z].
Positive solutions for singular (p, 2)-equations
Vetro, Calogero;
2019-01-01
Abstract
We consider a nonlinear nonparametric Dirichlet problem driven by the sum of a p-Laplacian and of a Laplacian (a (p, 2)-equation) and a reaction which involves a singular term and a (p- 1) -superlinear perturbation. Using variational tools and suitable truncation and comparison techniques, we show that the problem has two positive smooth solutions.
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