On Some Nonlinear Elliptic Problems with Large Monotonocity in Musielak–Orlicz–Sobolev Spaces

Azraibi, Ouidad; Haji, Badr El; Mekkour, Mounir

doi:10.15407/mag18.03.332

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article2

Relationship

Self Cite1

Independent1

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the setting of Musielak-Orlicz spaces and in the variational case, Benkirane and Sidi El vally [15] proved the existence of solutions for the obstacle elliptic problem where they generalized the work of Gossez and Mustonen in [19], there are several papers worth mentioning that deal with the existence solutions of elliptic and parabolic problems under various assumptions (see [13,25,24,21,12,22,23,11,14,3,4,2,5,7,6] for more details).…”

Section: Introductionmentioning

confidence: 99%

On the some equations inequalities in Musielak-Orlicz spaces with measure data

Azraibi,

Bourahma,

Mekkour

et al. 2024

rev.colomb.mat

Self Cite

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

On the some equations inequalities in Musielak-Orlicz spaces with measure data

Azraibi,

Bourahma,

Mekkour

et al. 2024

rev.colomb.mat

Self Cite

View full text Add to dashboard Cite

show abstract

Nonlinear elliptic unilateral problems with measure data in the anisotropic Sobolev space

Bouzelmate,

El Haji,

Lamtarah

2024

Nonautonomous Dynamical Systems

View full text Add to dashboard Cite

In this article, we consider a nonlinear elliptic unilateral equation whose model is − ∑ i = 1 N ∂ i σ i ( x , u , ∇ u ) + L ( x , u , ∇ u ) + N ( x , u , ∇ u ) = μ − div ϕ ( u ) in Ω . -\mathop{\sum }\limits_{i=1}^{N}{\partial }^{i}{\sigma }_{i}\left(x,u,\nabla u)+L\left(x,u,\nabla u)+N\left(x,u,\nabla u)=\mu -{\rm{div}}\phi \left(u)\hspace{1.0em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega . We prove the existence of entropy solutions for the aforementioned equation in the anisotropic Sobolev space, under the hypotheses, μ = f − div F \mu =f-{\rm{div}}F belongs to L 1 ( Ω ) + W − 1 , p ′ ( Ω ) {L}^{1}\left(\Omega )+{W}^{-1,{p}^{^{\prime} }}\left(\Omega ) . The nonlinear terms L ( x , s , ∇ u ) L\left(x,s,\nabla u) satisfy the sign and growth conditions, and N ( x , s , ∇ u ) N\left(x,s,\nabla u) verifies only the growth conditions.

show abstract

On Some Nonlinear Elliptic Problems with Large Monotonocity in Musielak–Orlicz–Sobolev Spaces

Cited by 2 publications

References 29 publications

On the some equations inequalities in Musielak-Orlicz spaces with measure data

On the some equations inequalities in Musielak-Orlicz spaces with measure data

Nonlinear elliptic unilateral problems with measure data in the anisotropic Sobolev space

Contact Info

Product

Resources

About