RT journal article T1 Existence of a capacity solution to a nonlinear parabolic–elliptic coupled system in anisotropic Orlicz-Sobolev spaces A1 Ortegón Gallego, Francisco A1 Ouyahya, Hakima A1 Rhoudaf, Mohamed A2 Matemáticas K1 Capacity solution K1 Inhomogeneous anisotropic Orlicz-Sobolev spaces K1 Monotone operators K1 Nonlinear parabolic equations K1 Thermistor problem K1 Weak solution AB 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. PB Elsevier SN 2590-0374 YR 2023 FD 2023-05-13 LK http://hdl.handle.net/10498/28969 UL http://hdl.handle.net/10498/28969 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 12-nov-2026