%0 Journal Article %A Ortegón Gallego, Francisco %A Ouyahya, Hakima %A Rhoudaf, Mohamed %T Existence of a capacity solution to a nonlinear parabolic–elliptic coupled system in anisotropic Orlicz-Sobolev spaces %D 2023 %@ 2590-0374 %U http://hdl.handle.net/10498/28969 %X 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. %K Capacity solution %K Inhomogeneous anisotropic Orlicz-Sobolev spaces %K Monotone operators %K Nonlinear parabolic equations %K Thermistor problem %K Weak solution %~ Universidad de Cádiz