Existence of a renormalized solution of nonlinear degenerate elliptic problems
Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 131-140
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We study a general class of nonlinear elliptic problems associated with the differential inclusion $\beta (u)-{\rm div}(a(x,Du)+F(u))\ni f $ in $\varOmega $ where $f\in L^{\infty }(\varOmega )$. The vector field $a(\cdot ,\cdot )$ is a Carathéodory function. Using truncation techniques and the generalized monotonicity method in function spaces we prove existence of renormalized solutions for general $L^\infty $-data.
DOI :
10.4064/am41-2-1
Keywords:
study general class nonlinear elliptic problems associated differential inclusion beta div varomega where infty varomega vector field cdot cdot carath odory function using truncation techniques generalized monotonicity method function spaces prove existence renormalized solutions general infty data
Affiliations des auteurs :
Youssef Akdim 1 ; Chakir Allalou 2
@article{10_4064_am41_2_1,
author = {Youssef Akdim and Chakir Allalou},
title = {Existence of a renormalized solution of nonlinear degenerate elliptic problems},
journal = {Applicationes Mathematicae},
pages = {131--140},
year = {2014},
volume = {41},
number = {2-3},
doi = {10.4064/am41-2-1},
zbl = {1305.35066},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am41-2-1/}
}
TY - JOUR AU - Youssef Akdim AU - Chakir Allalou TI - Existence of a renormalized solution of nonlinear degenerate elliptic problems JO - Applicationes Mathematicae PY - 2014 SP - 131 EP - 140 VL - 41 IS - 2-3 UR - http://geodesic.mathdoc.fr/articles/10.4064/am41-2-1/ DO - 10.4064/am41-2-1 LA - en ID - 10_4064_am41_2_1 ER -
%0 Journal Article %A Youssef Akdim %A Chakir Allalou %T Existence of a renormalized solution of nonlinear degenerate elliptic problems %J Applicationes Mathematicae %D 2014 %P 131-140 %V 41 %N 2-3 %U http://geodesic.mathdoc.fr/articles/10.4064/am41-2-1/ %R 10.4064/am41-2-1 %G en %F 10_4064_am41_2_1
Youssef Akdim; Chakir Allalou. Existence of a renormalized solution of nonlinear degenerate elliptic problems. Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 131-140. doi: 10.4064/am41-2-1
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