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

Thumbnail
Identificadores

URI: http://hdl.handle.net/10498/34098

DOI: 10.58997/ejde.2022.84

URL: https://ejde-ojs-txstate.tdl.org/ejde/article/view/176

ISSN: 1072-6691

Files
Statistics
Metrics and citations
 
Share
Export
EndNoteBibTexRIS
Metadata
Show full item record
Author/s
Ortegón Gallego, FranciscoAuthority UCA; Ouyahya, Hakima; Rhoudaf, Mohamed
Date
2022
Department
Matemáticas
Source
Electronic Journal of Di erential Equations, Vol. 2022 (2022), Nº. 84, 1-32.
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.
Subjects
Nonlinear elliptic equations; capacity solution; least squares method; anisotropic Orlicz-Sobolev spaces; conjugate gradient algorithm
Collections
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional