Nikolaos S. Papageorgiou, Calogero Vetro, Francesca Vetro
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 6, 2023.
Math Subject Classifications: 35J60, 35J92.
Key Words: (p,q)-Laplacian; singular term; negative perturbation;
nonlinear regularity; regularized singular term.
DOI: https://doi.org/10.58997/ejde.2023.25
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| Nikolaos S. Papageorgiou Department of Mathematics National Technical University Zografou campus 15780, Athens, Greece email: npapg@math.ntua.gr | |
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Calogero Vetro Department of Mathematics and Computer Science University of Palermo Via Archirafi 34 90123, Palermo, Italy email: calogero.vetro@unipa.it |
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Francesca Vetro independent researcher 90123, Palermo, Italy email: francescavetro80@gmail.com |
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