Pseudo-monotonicity and degenerate elliptic operators of second order.

Akdim, Youssef; Azroul, Elhoussine

Displaying similar documents to “Pseudo-monotonicity and degenerate elliptic operators of second order.”

Higher order nonlinear degenerate elliptic problems with weak monotonicity.

Akdim, Youssef, Azroul, Elhoussine, Rhoudaf, Mohamed (2006)

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

Similarity:

Existence of solutions for quasilinear degenerate elliptic equations.

Akdim, Y., Azroul, E., Benkirane, A. (2001)

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

Similarity:

Strongly nonlinear degenerated elliptic unilateral problems via convergence of truncations.

Akdim, Youssef, Azroul, Elhoussine, Benkirane, Abdelmoujib (2002)

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

Similarity:

Existence and uniqueness of solutions for some degenerate nonlinear elliptic equations

Albo Carlos Cavalheiro (2014)

Archivum Mathematicum

Similarity:

In this article we are interested in the existence and uniqueness of solutions for the Dirichlet problem associated with the degenerate nonlinear elliptic equations $\begin{matrix} Δ (v (x) {| Δ u |}^{p - 2} Δ u) & - \sum_{j = 1}^{n} D_{j} [ω (x) 𝒜_{j} (x, u, \nabla u)] \\ = & f_{0} (x) - \sum_{j = 1}^{n} D_{j} f_{j} (x), i n Ω \end{matrix}$ in the setting of the weighted Sobolev spaces.

Existence results for quasilinear degenerated equations via strong convergence of truncations.

Youssef Akdim, Elhoussine Azroul, Abdelmoujib Benkirane (2004)

Revista Matemática Complutense

Similarity:

In this paper we study the existence of solutions for quasilinear degenerated elliptic operators A(u) + g(x,u,∇u) = f, where A is a Leray-Lions operator from W (Ω,ω) into its dual, while g(x,s,ξ) is a nonlinear term which has a growth condition with respect to ξ and no growth with respect to s, but it satisfies a sign condition on s. The right hand side f is assumed to belong either to W(Ω,ω*) or to L(Ω).

Lipschitz estimates for multilinear commutator of pseudo-differential operators.

Wang, Z., Liu, L. (2010)

Annals of Functional Analysis (AFA) [electronic only]

Similarity:

On the Keldyš-Fichera boundary-value problem for degenerate quasilinear elliptic equations.

Chen, Zuchi, Xuan, Benjin (2002)

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

Similarity:

On the boundedness of classical operators on weighted Lorentz spaces.

Rakotondratsimba, Y. (1998)

Georgian Mathematical Journal

Similarity:

Existence of Solution for Quasilinear Degenerated Elliptic Unilateral Problems

Youssef Akdim, Elhoussine Azroul, Abdelmoujib Benkirane (2003)

Annales mathématiques Blaise Pascal

Similarity:

An existence theorem is proved, for a quasilinear degenerated elliptic inequality involving nonlinear operators of the form $A u + g (x, u, \nabla u)$ , where $A$ is a Leray-Lions operator from $W_{0}^{1, p} (Ω, w)$ into its dual, while $g (x, s, ξ)$ is a nonlinear term which has a growth condition with respect to $ξ$ and no growth with respect to $s$ , but it satisfies a sign condition on $s$ , the second term belongs to $W^{- 1, p^{'}} (Ω, w^{*})$ .