Giuseppe Failla, Leszek Gasinski, Nikolaos S. Papageorgiou
Abstract:
We prove the existence and multiplicity of solutions for a
variable-exponent double-phase problem with parametric logistic reaction term.
Combining variational and truncation methods with homological critical group
theory, we prove the existence of at least one or two solutions with respect to
a positive parameter, i.e., a bifurcation result.
Submitted February 24, 2026. Published May 4, 2026.
Math Subject Classifications: 35A01, 35B09, 35J25, 35J60.
Key Words: Double phase problem; variable exponent; logistic equation.
DOI: 10.58997/ejde.2026.33
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| Giuseppe Failla Department of Mathematics and Computer Sciences Physical Sciences and Earth Sciences (MIFT) University of Messina Viale Ferdinando Stagno d'Alcontres, 98166, Messina, Italy email: giuseppe.failla@studenti.unime.it |
| Leszek Gasinski Department of Mathematics University of the National Education Commission ul. Podchorkazych 2, 30-084 Krakow, Poland email: leszek.gasinski@uken.krakow.pl |
| Nikolaos S. Papageorgiou Department of Mathematics National Technical University Zografou Campus, Athens 15780, Greece email: npapg@math.ntua.gr |
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