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

Article scientifique 2022 Anglais

Résumé

Abstract 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 ∆2–condition on the Nfunctions. 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. Mathematics Subject Classification (2010). Primary: 35K61; Secondary: 47H05.

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Gallego, F., Ouyahya, H., Rhoudaf, M. (2022). Existence of a capacity solution to a nonlinear parabolic-elliptic coupled system in anisotropic Orlicz-Sobolev spaces. https://doi.org/10.21203/rs.3.rs-2408730/v1

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Auteur(s)

Francisco Ortegón Gallego Hakima Ouyahya M. Rhoudaf

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