Existence of a solution and its numerical approximation for a strongly nonlinear coupled system in anisotropic Orlicz-Sobolev spaces

Electronic Journal of Differential Equations

article

Francisco Ortegón Gallego¹  Hakima Ouyahya²  Mohamed Rhoudaf² 

[1] Departamento de Matemáticas Facultad de Ciencias del Mar y Ambientales Universidad de Cádiz, Campus del Río San Pedro 11510 Puerto Real;Équipe EDP et calcul scientifique laboratoire de mathématiques et leurs intéractions Faculté des Sciences Moulay Ismail University Meknes

关键词: Nonlinear elliptic equations;    capacity solution;    least squares method;    anisotropic Orlicz-Sobolev spaces;    conjugate gradient algorithm.;   

DOI  :  10.58997/ejde.2022.84

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

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.

【 授权许可】

CC BY