%0 Journal Article %A Ortegón Gallego, Francisco %A Ouyahya, Hakima %A Rhoudaf, Mohamed %T Existence of a solution and its numerical approximation for a strongly nonlinear coupled system in anisotropic Orlicz-Sobolev spaces %D 2022 %@ 1072-6691 %U http://hdl.handle.net/10498/34098 %X 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. %K Nonlinear elliptic equations %K capacity solution %K least squares method %K anisotropic Orlicz-Sobolev spaces %K conjugate gradient algorithm %~ Universidad de Cádiz