Florin-Iulian Onete, Nikolaos S. Papageorgiou, Vicentiu D. Radulescu
Abstract:
We consider a Dirichlet (p,q)-equation with a reaction having the combined effects
of a singular term and of a resonant perturbation.
Using an auxiliary problem to bypass the singularity and variational tools from critical
point theory, with truncation and comparison techniques, we show that the problem has
two positive smooth solutions.
Published October 6, 2021.
Math Subject Classifications: 35J75, 35J92.
Key Words: Resonance; nonlinear regularity; comparison principle;
maximum principle; positive solutions.
DOI: https://doi.org/10.58997/ejde.sp.01.r1
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| Florin I. Onete Department of Mathematics University of Craiova 200585 Craiova, Romania email: oneteflorin@yahoo.com |
| Nikolaos S. Papageorgiou National Technical University Department of Mathematics Zografou Campus, Athens 15780, Greece email: npapg@math.ntua.gr |
| Vicentiu D. Radulescu Faculty of Applied Mathematics AGH University of Science and Technology al. Mickiewicza 30, 30-059 Krakow, Poland email: radulescu@inf.ucv.ro |
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