RT journal article T1 Existence of a solution and its numerical approximation for a strongly nonlinear coupled system in anisotropic Orlicz-Sobolev spaces A1 Ortegón Gallego, Francisco A1 Ouyahya, Hakima A1 Rhoudaf, Mohamed A2 Matemáticas K1 Nonlinear elliptic equations K1 capacity solution K1 least squares method K1 anisotropic Orlicz-Sobolev spaces K1 conjugate gradient algorithm AB We study the existence of a capacity solution for a nonlinear elliptic coupled system in anisotropic Orlicz-Sobolev spaces. The unknowns are the temperature inside a semiconductor material, and the electric potential. This system may be considered as a generalization of the steady-state thermistor problem. The numerical solution is also analyzed by means of the least squares method in combination with a conjugate gradient technique. SN 1072-6691 YR 2022 FD 2022 LK http://hdl.handle.net/10498/34098 UL http://hdl.handle.net/10498/34098 LA eng NO Ministerio de Ciencia e Innovación [PID2020-117201RB-C21] y Consejería de Transformación Económica, Industria, Conocimiento y Universidades de la Junta de Andalucía [UAL2020-FQM-B2046], en los dos casos, con la participación del Fondo Europeo de Desarrollo Regional (ERDF/FEDER). DS Repositorio Institucional de la Universidad de Cádiz RD 11-nov-2026