42 citations
- Centre National de la Recherche ScientifiqueFR5 papers
- Badji Mokhtar-Annaba UniversityDZ2 papers
- Benemérita Universidad Autónoma de PueblaMX2 papers
- Centre de Développement des Technologies AvancéesDZ2 papers
- Centre de Recherche en Astronomie Astrophysique et GéophysiqueDZ2 papers
- Chiba UniversityJP2 papers
- City University of New YorkUS2 papers
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- Friedrich-Alexander-Universität Erlangen-NürnbergDE2 papers
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7 papers · 1 filter
Nonlinear boundary value problems relative to harmonic functions
Oussama Boukarabila, Laurent Veron
We study the problem of finding a function u verifying --u = 0 in under the boundary condition u n + g(u) = on where R N…
On fractional p-laplacian parabolic problem with general data
Boumediene Abdellaoui, Ahmed Attar, Rachid Bentifour +1
In this article the problem to be studied is the following $$ (P) \left\{ \begin{array}{rcll} u_t+(-\D^s_{p}) u & = & f(x,t) & \text{ in } Ø_{T}\equiv Ω\times (0,T), \\ u & = & 0 &…
Caffarelli-Kohn-Nirenberg type inequalities of fractional order with applications
Boumediene Abdellaoui, Rachid Bentifour
Let and be such that . Assume that is a bounded domain containing the origin. Staring from the ground state inequality by R. Frank and R. Seiringer we obtai…
On the Fractional p-laplacian equations with weight and general datum
B. Abdellaoui, A. Attar, R. Bentifour
The aim of this paper is to treat the following problem $$ (P) \left\{ \begin{array}{rcll} (-Δ)^s_{p, β} u &= & f(x,u) &\mbox{ in }Ω, u & = & 0 &\mbox{ in } \mathds{R}^N\setminusΩ,…
Some existence and regularity results for porous media and fast diffusion equations with a gradient term
Boumediene Abdellaoui, Ireneo Peral, Magdalena Walias
In this paper we consider the problem $$(P)\qquad \{{array}{rclll} u_t-\D u^m&=&|\n u|^q +\,f(x,t),&\quad u\ge 0 \hbox{in} Ω_T\equiv Ω\times (0,T), u(x,t)&=&0 &\quad \hbox{on} \par…
Nodal solutions to quasilinear elliptic equations on compact Riemannian manifolds
Mohammed Benalili
We show the existence of nodal solutions to perturbed quasilinear elliptic equations with critical Sobolev exponent on compact Riemannian manifolds. A nonexistence result is also g…