Existence of a renormalized solution of nonlinear degenerate elliptic problems

Youssef Akdim, and Chakir Allalou. "Existence of a renormalized solution of nonlinear degenerate elliptic problems." Applicationes Mathematicae 41.2-3 (2014): 131-140. <http://eudml.org/doc/280028>.

@article{YoussefAkdim2014,
abstract = {We study a general class of nonlinear elliptic problems associated with the differential inclusion $β(u) - div(a(x,Du) + F(u)) ∋ f$ in Ω where $f ∈ L^\{∞\}(Ω)$. The vector field a(·,·) is a Carathéodory function. Using truncation techniques and the generalized monotonicity method in function spaces we prove existence of renormalized solutions for general $L^∞$-data.},
author = {Youssef Akdim, Chakir Allalou},
journal = {Applicationes Mathematicae},
keywords = {weighted Sobolev spaces; Hardy inequality; degenerate elliptic problem},
language = {eng},
number = {2-3},
pages = {131-140},
title = {Existence of a renormalized solution of nonlinear degenerate elliptic problems},
url = {http://eudml.org/doc/280028},
volume = {41},
year = {2014},
}

TY - JOUR
AU - Youssef Akdim
AU - Chakir Allalou
TI - Existence of a renormalized solution of nonlinear degenerate elliptic problems
JO - Applicationes Mathematicae
PY - 2014
VL - 41
IS - 2-3
SP - 131
EP - 140
AB - We study a general class of nonlinear elliptic problems associated with the differential inclusion $β(u) - div(a(x,Du) + F(u)) ∋ f$ in Ω where $f ∈ L^{∞}(Ω)$. The vector field a(·,·) is a Carathéodory function. Using truncation techniques and the generalized monotonicity method in function spaces we prove existence of renormalized solutions for general $L^∞$-data.
LA - eng
KW - weighted Sobolev spaces; Hardy inequality; degenerate elliptic problem
UR - http://eudml.org/doc/280028
ER -