Gallego, Francisco OrtegonOuyahya, HakimaRhoudaf, Mohamed2023-05-152023-05-152022-12-21Ortegón Gallego, F., Ouyahya, H., & Rhoudaf, M. (2022). Existence of a solution and its numerical approximation for a strongly nonlinear coupled system in anisotropic Orlicz-Sobolev spaces. <i>Electronic Journal of Differential Equations, 2022</i>(84), pp. 1-32.1072-6691https://hdl.handle.net/10877/16808We 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.Text32 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear elliptic equationsCapacity solutionLeast squares methodAnisotropic Orlicz-Sobolev spacesConjugate gradient algorithmArticle