Geodesic
Existence of a renormalized solution of nonlinear degenerate elliptic problems
Youssef Akdim1 ; Chakir Allalou2
1LIMAO, Faculté Polydisciplinaire B.P. 1223 Taza Gare, Taza, Morocco
2LIMAO, Faculté Polydisciplinaire B.P. 1223 Taza, Gare Taza, Marocco
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

Voir la notice de l'article

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

Youssef Akdim  1   ; Chakir Allalou  2

1 LIMAO, Faculté Polydisciplinaire B.P. 1223 Taza Gare, Taza, Morocco
2 LIMAO, Faculté Polydisciplinaire B.P. 1223 Taza, Gare Taza, Marocco 
@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

Cité par Sources :