Existence of a renormalized solution of nonlinear degenerate elliptic problems

• Autorzy: Youssef Akdim , Chakir Allalou
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35J70: Degenerate elliptic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2014
• Tom: 41
• Numer: 2-3
• Strony: 131-140

Daty

wydano

2014

Twórcy

autor

Youssef Akdim

• LIMAO, Faculté Polydisciplinaire, B.P. 1223 Taza Gare, Taza, Morocco

autor

Chakir Allalou

• LIMAO, Faculté Polydisciplinaire, B.P. 1223 Taza, Gare Taza, Marocco

Identyfikatory

DOI

10.4064/am41-2-1