Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 25, pp. 1-9.

Title: Positive solutions for singular (p,q)-Laplacian equations with negative perturbation
       
Authors: Nikolaos S. Papageorgiou (National Technical Univ., Athens, Greece)
         Calogero Vetro (Univ. of Palermo, Italy)
         Francesca Vetro (independent researcher, Palermo, Italy)

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.

Submitted July 11, 2022. Published March 06, 2023.
Math Subject Classifications: 35J60, 35J92.
Key Words: (p,q)-Laplacian; singular term; negative perturbation;
    nonlinear regularity; regularized singular term.