@misc{10498/34098, year = {2022}, url = {http://hdl.handle.net/10498/34098}, abstract = {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.}, organization = {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).}, keywords = {Nonlinear elliptic equations}, keywords = {capacity solution}, keywords = {least squares method}, keywords = {anisotropic Orlicz-Sobolev spaces}, keywords = {conjugate gradient algorithm}, title = {Existence of a solution and its numerical approximation for a strongly nonlinear coupled system in anisotropic Orlicz-Sobolev spaces}, doi = {10.58997/ejde.2022.84}, author = {Ortegón Gallego, Francisco and Ouyahya, Hakima and Rhoudaf, Mohamed}, }