Capacity solution to a coupled system of parabolic-elliptic equations in Orlicz-Sobolev spaces

DOI10.1007/s00030-018-0505-yzbMath1391.35233OpenAlexW2791149575MaRDI QIDQ1635646

H. Moussa, Francisco Ortegón Gallego, Mohamed Rhoudaf

Publication date: 31 May 2018

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-018-0505-y

zbMATH Keywords

weak solutionsOrlicz-Sobolev spacescoupled systemthermistor problemcapacity solutionnonlinear parabolic-elliptic equations

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30)

Related Items (7)

A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces ⋮ Capacity solution for a perturbed nonlinear coupled system ⋮ The anisotropic thermistor problem with degenerate thermal and electric conductivities ⋮ Existence of a capacity solution to a nonlinear parabolic-elliptic coupled system in anisotropic Orlicz-Sobolev spaces ⋮ Discrete duality finite volume scheme for a generalized Joule heating problem ⋮ Existence results for a perturbed Dirichlet problem without sign condition in Orlicz spaces ⋮ Numerical analysis of a stable finite volume scheme for a generalized thermistor model

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