Geodesic
Existence of a renormalized solution of nonlinear degenerate elliptic problems
Youssef Akdim1 ; Chakir Allalou2
1 LIMAO, Faculté Polydisciplinaire B.P. 1223 Taza Gare, Taza, Morocco
2 LIMAO, Faculté Polydisciplinaire B.P. 1223 Taza, Gare Taza, Marocco
Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 131-140.

Voir la notice de l'article provenant de 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

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 
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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. http://geodesic.mathdoc.fr/articles/10.4064/am41-2-1/

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