University of Kairouan

output

20062024

most citedExistence and multiplicity results for a new

p (x)

-Kirchhoff problem

63 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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8 papers · 1 filter

math.AP2024

Asymptotically homogeneous solutions of the supercritical Lane-Emden system

Louis Dupaigne, Hatem Hajlaoui, Marius Ghergu

We consider the Lane-Emden system- $Δ$ u = |v| p-1 v,- $Δ$ v = |u| q-1 u in R d. When p $\geq$ q $\geq$ 1, it is known that there exists a positive radial stable solution (u, v) $\in$ C…

math.AP2021★ 6 cited

Existence results for integro-differential equations with reflection

Mohsen Miraoui, Dušan D. Repovš

We prove several important results concerning existence and uniqueness of pseudo almost automorphic (paa) solutions with measure for integro-differential equations with reflection.…

math.AP2021★ 9 cited

Fractional double phase Robin problem involving variable order-exponents without Ambrosetti-Rabinowitz condition

Reshmi Biswas, Sabri Bahrouni, Marcos L. Carvalho

We consider a fractional double phase Robin problem involving variable order and variable exponents. The nonlinearity $f$ is a Carathéodory function satisfying some hypotheses whic…

math.AP2020★ 7 cited

Dynamics and oscillations of models for differential equations with delays

Mohsen Miraoui, Dušan D. Repovš

By developing new efficient techniques and using an appropriate fixed point theorem, we derive several new sufficient conditions for the pseudo almost periodic solutions with doubl…

math.AP2019★ 63 cited

Existence and multiplicity results for a new $p (x)$ -Kirchhoff problem

M. K. Hamdani, A. Harrabi, F. Mtiri +1

We study the existence and multiplicity results for the following nonlocal $p (x)$ -Kirchhoff problem: \begin{equation} \label{10} \begin{cases} -\left(a-b\int_Ω\frac{1}{p(x)}| \nabl…

math.AP2015

Explicit estimates for solutions to higher order elliptic PDEs via Morse index

Foued Mtiri, Abdellaziz Harrabi, Dong Ye

In this paper, we establish $L^{\infty}$ and $L^{p}$ estimates for solutions of some polyharmonic elliptic equations via the Morse index. As far as we know, it seems to be the firs…

math.AP2013

Ambrosetti-Rabinowitz theorems revisited

Abdellaziz Harrabi

We introduce tow assumptions weaker than the classical Ambrosetti-Rabinowitz and the subcritical polynomial growth conditions to obtain the Palais-Smale Condition. Therefore, we im…

math.AP2012★ 24 cited

On stable solutions of biharmonic problem with polynomial growth

Hatem Hajlaoui, Abdelaziz Harrabi, Dong Ye

We prove the nonexistence of smooth stable solution to the biharmonic problem $Δ^{2} u = u^{p}$ , $u > 0$ in $R^{N}$ for $1 < p < \infty$ and $N < 2 (1 + x_{0})$ , where $x_{0}$ is the largest ro…