Existence of a capacity solution to a nonlinear parabolic–elliptic coupled system in anisotropic Orlicz-Sobolev spaces

Autor: Gallego, Francisco Ortegón, Ouyahya, Hakima, Rhoudaf, Mohamed
Zdroj: Results in Applied Mathematics; 20230101, Issue: Preprints
Abstrakt: In this work, we show the existence of a capacity solution for a nonlinear coupled parabolic–elliptic system in inhomogeneous anisotropic Orlicz-Sobolev spaces without assuming the Δ2–condition on the N-functions. This system describes the heat surge generated within a semiconductor device by an electrical direct current. This may be seen as a generalization of the so-called thermistor problem.
Databáze: Supplemental Index