RT journal article
T1 Capacity Solution to a Nonlinear Elliptic Coupled System in Orlicz–Sobolev Spaces
A1 Moussa, Hicham
A1 Ortegón Gallego, Francisco
A1 Rhoudaf, Mohamed
A2 Matemáticas
K1 Coupled system
K1 capacity solutions
K1 nonlinear elliptic equations
K1 weak solutions
K1 Orlicz–Sobolev spaces
AB We analyze the existence of a capacity solution to the followingnonlinear elliptic coupled system, whose unknowns are the temperatureinside a semiconductor material, u, and the electric potential, ϕ,−Au = ρ(u)|∇ϕ|2 in Ω,div(ρ(u)∇ϕ) = 0 in Ω,ϕ = ϕ_0 on ∂Ω,u = 0 on∂Ω,where Ω ⊂ R^d, d ≥ 2 and Au = −div a(x, u,∇u) is a Leray–Lions operator defined on W^1_0 L_M(Ω), M is a N-function which does not have to satisfy a Δ_2 condition. Therefore, we work with generalized Orlicz–Sobolev spaces which are not necessarily reflexive. The function ϕ_0 is given. The proof combines truncation methods, monotonicity techniques and regularizing methods in Orlicz spaces. We introduce a sequence of approximate problems which converges (up to a subsequence) in a certain sense to a capacity solution in the context of non-reflexive Orlicz–Sobolev spaces.
PB Springer
SN 1660-5454
YR 2020
FD 2020-02-22
LK http://hdl.handle.net/10498/34096
UL http://hdl.handle.net/10498/34096
LA eng
NO Ministerio de Ciencia, Innovación y Universidades (TEC2017-86347-C2-1-R) con la participación del Fondo Europeo de Desarrollo Regional (FEDER).
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026