We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction consisting of a singular term plus a negative perturbation. Using regularization of the singular term and truncation and comparison techniques, we show that the problem has a unique positive smooth solution.
Papageorgiou N.S., Vetro C., Vetro F. (2023). POSITIVE SOLUTIONS FOR SINGULAR (p, q)-LAPLACIAN EQUATIONS WITH NEGATIVE PERTURBATION. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2023 [10.58997/ejde.2023.25].
POSITIVE SOLUTIONS FOR SINGULAR (p, q)-LAPLACIAN EQUATIONS WITH NEGATIVE PERTURBATION
Vetro C.;
2023-01-01
Abstract
We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction consisting of a singular term plus a negative perturbation. Using regularization of the singular term and truncation and comparison techniques, we show that the problem has a unique positive smooth solution.
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