TY  - JOUR
ID  - Vetro2025
LB  - Vetro2025
AU  - Vetro, Francesca
AU  - Efendiev, Rakib
TI  - Systems of differential inclusions with competing operators and variable exponents
ST  - Systems of differential inclusions with competing operators and variable exponents
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2025
VL  - 45
IS  - 5
SP  - 665
EP  - 684
DO  - https://doi.org/10.7494/OpMath.2025.45.5.665
UR  - https://doi.org/10.7494/OpMath.2025.45.5.665
AB  - 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.
KW  - systems of differential inclusions
KW  - hemivariational inequalities
KW  - competing operators
KW  - Galerkin basis
SN  - 1232-9274
ER  -