We consider a nonlinear parametric Neumann problem driven by the sum of a p-Laplacian and of a q-Laplacian and exhibiting in the reaction the competing effects of a singular term and of a resonant term. Using variational methods together with suitable truncation and comparison techniques, we show that for small values of the parameter the problem has at least two positive smooth solutions.
Papageorgiou N.S., Vetro C., Vetro F. (2020). Singular Neumann (p, q)-equations. POSITIVITY, 24(4), 1017-1040 [10.1007/s11117-019-00717-w].
Singular Neumann (p, q)-equations
Vetro C.;
2020-01-01
Abstract
We consider a nonlinear parametric Neumann problem driven by the sum of a p-Laplacian and of a q-Laplacian and exhibiting in the reaction the competing effects of a singular term and of a resonant term. Using variational methods together with suitable truncation and comparison techniques, we show that for small values of the parameter the problem has at least two positive smooth solutions.
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