Browsing by Author "Vetro, Francesca"

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Access status: Open Access ,
On a Robin (p,q)-equation with a logistic reaction
(Wydawnictwa AGH, 2019) Papageorgiou, Nikolaos Socrates; Vetro, Calogero; Vetro, Francesca
We consider a nonlinear nonhomogeneous Robin equation driven by the sum of a $p$-Laplacian and of a $q$-Laplacian ($(p,q)$-equation) plus an indefinite potential term and a parametric reaction of logistic type (superdiffusive case). We prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter $\lambda \gt 0$ varies. Also, we show that for every admissible parameter $\lambda \gt 0$, the problem admits a smallest positive solution.
Access status: Open Access ,
Systems of differential inclusions with competing operators and variable exponents
(Wydawnictwa AGH, 2026) Vetro, Francesca; Efendiev, Rakib
In this paper, we study a system of differential inclusions with Dirichlet boundary condition, involving competing operators and variable exponents. More precisely, we investigate the existence of both generalized solutions and weak solutions to the problem under consideration. In order to archive our results, we make use of approximation through finite dimensional subspaces via a Galerkin basis along with minimization and nonsmooth analysis.