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Existence of solutions of degenerated unilateral problems with $L^{1}$ data

Lahsen Aharouch; Youssef Akdim — 2004

Annales mathématiques Blaise Pascal

In this paper, we shall be concerned with the existence result of the Degenerated unilateral problem associated to the equation of the type $A u + g (x, u, \nabla u) = f - div F,$ where $A$ is a Leray-Lions operator and $g$ is a Carathéodory function having natural growth with respect to $| \nabla u |$ and satisfying the sign condition. The second term is such that, $f \in L^{1} (Ω)$ and $F \in Π_{i = 1}^{N} L^{p^{'}} (Ω, w_{i}^{1 - p^{'}})$ .

Existence of renormalized solution of some elliptic problems in Orlicz spaces.

Lahsen Aharouch; Jaouad Bennoua; Abdelfettah Touzani — 2009

Revista Matemática Complutense

Existence and regularity of entropy solutions for some nonlinear elliptic equations.

Aharouch, Lahsen; Azroul, Elhoussine — 2004

Electronic Journal of Differential Equations (EJDE) [electronic only]

On the $L^{\infty}$ -regularity of solutions of nonlinear elliptic equations in Orlicz spaces.

Aharouch, Lahsen; Azroul, Elhoussine; Benkirane, Abdelmoujib — 2002

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence result for variational degenerated parabolic problems via pseudo-monotonicity.

Aharouch, Lahsen; Azroul, Elhoussine; Rhoudaf, Mohamed — 2006

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Currently displaying 1 – 5 of 5

Existence of solutions of degenerated unilateral problems with $L^{1}$ data

Existence of renormalized solution of some elliptic problems in Orlicz spaces.

Existence and regularity of entropy solutions for some nonlinear elliptic equations.

On the $L^{\infty}$ -regularity of solutions of nonlinear elliptic equations in Orlicz spaces.

Existence result for variational degenerated parabolic problems via pseudo-monotonicity.

Advanced Search

Formula preview

Currently displaying 1 – 5 of 5

Existence of solutions of degenerated unilateral problems with L 1 data

Existence of renormalized solution of some elliptic problems in Orlicz spaces.

Existence and regularity of entropy solutions for some nonlinear elliptic equations.

On the L ∞ -regularity of solutions of nonlinear elliptic equations in Orlicz spaces.

Existence result for variational degenerated parabolic problems via pseudo-monotonicity.

Existence of solutions of degenerated unilateral problems with $L^{1}$ data

On the $L^{\infty}$ -regularity of solutions of nonlinear elliptic equations in Orlicz spaces.