RT journal article
T1 Capacity Solution and Numerical Approximation to a Nonlinear Coupled Elliptic System in Anisotropic Sobolev Spaces
A1 Ortegón Gallego, Francisco
A1 Rhoudaf, Mohamed
A1 Talbi, Hajar
A2 Matemáticas
AB In this paper, we analyze the existence and the numerical simulation of a capacity solution to a coupled nonlinear elliptic system, whose unknowns are the temperature inside a semiconductor material u, and the electric potential phi. The model problem we refer to is{-Delta((p) over right arrow)u = rho(u)vertical bar del phi vertical bar(2) in Omegadiv(rho(u)del phi = 0 in Omegaphi = phi(0) on partial derivative Omegau = 0 on partial derivative Omegawhere Omega is an open bounded set of R-N, N >= 2 and Delta((p) over right arrow)u = Sigma(N)(i=1) partial derivative(i)(vertical bar partial derivative(i)u vertical bar(pi-2) partial derivative(i)u), is the (p) over right arrow -Laplacian operator. We consider the case of a nonuniformly elliptic problem.
PB WILMINGTON SCIENTIFIC PUBLISHER
SN 2158-5644
YR 2022
FD 2022-12
LK http://hdl.handle.net/10498/28707
UL http://hdl.handle.net/10498/28707
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 12-nov-2026