R. Hadiji

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20112018

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5 papers · 1 filter

math.AP2018

A nonlinear problem witha weight and a nonvanishing boundary datum

Rejeb Hadiji

We consider the problem: $u \in H_{g}^{1} (Ω), ∥ u ∥_{q} = 1 in f \int_{Ω} p (x) ∣\nabla u (x) ∣^{2} d x - λ \int_{Ω} ∣ u (x) ∣^{2} d x$ where $Ω$ is a bounded domain in $R^{n}$ , $n \geq 4$ ,…

math.AP2018

A Ginzburg-Landau type energy with weight and with convex potential near zero

Rejeb Hadiji, Carmen Perugia

In this paper, we study the asymptotic behaviour of minimizing solutions of a Ginzburg-Landau type functional with a positive weight and with convex potential near $0$ and we estim…

math.AP2017

Existence of Solutions of a Non-Linear Eigenvalue Problem with a Variable Weight

Rejeb Hadiji, Francois Vigneron

We study the non-linear minimization problem on $H_{0}^{1} (Ω) \subset L^{q}$ with $q = \frac{2 n}{n - 2}$ , $α > 0$ and $n \geq 4$ ~: \[\inf_{\substack{u\in H^1_0(Ω) \|u\|_{L^q}=1}}\int_Ωa(x,u)|\nab…

math.AP2013

Problem with critical Sobolev exponent and with weight

Rejeb Hadiji, Habib Yazidi

We study existence results for a problem with criticical Sobolev exponent and with a positive weight.

math.AP2011

Non-Linear Effects in a Yamabe-Type Problem with Quasi-Linear Weight

Soohyun Bae, Rejeb Hadiji, Francois Vigneron +1

We study the quasi-linear minimization problem on $H_{0}^{1} (Ω) \subset L^{q}$ with $q = \frac{2 n}{n - 2}$ ~: $∥ u ∥_{L^{q}} = 1 in f \int_{Ω} (1 + ∣ x ∣^{β} ∣ u ∣^{k}) ∣\nabla u ∣^{2} .$ We show that minimizers…