Existence and Uniqueness of Solutions for Singular Double‐Phase Variable Exponent Equations
ABSTRACT We investigate the existence of positive solutions for a singular double‐phase problem with variable exponents. The reaction term is influenced by a sign‐changing Carathéodory function. Our main approach utilizes a pseudomonotone‐type operator. Additionally, by imposing specific assumptions, we establish the uniqueness of solutions.
Authors
- Leszek Gasiński (ORCID: https://orcid.org/0000-0001-8692-6442)
- Giuseppe Failla (ORCID: https://orcid.org/0009-0007-7336-4410)
- Nikolaos S. Papageorgiou
Institutions
- University of Messina (IT)
- National Technical University of Athens (GR)
- University School of Physical Education in Kraków (PL)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-07-14
- DOI
- https://doi.org/10.1002/mma.11210
- Citations
- 1
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 1.50
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni