311 citations · 627 across the 31 of their papers we have counts for
26 papers · 1 filter
Global and local existence of solutions for a novel type of parabolic Kirchhoff system with singular term
Aberqi Ahmed, Abdesslam Ouaziz, Maria Alessandra Ragusa
In this paper, we investigate solutions for a fractional system involving a novel class of Kirchhoff functions and logarithmic nonlinearity: \begin{equation*} \left\{\begin{array}{…
On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications
N. Chems Eddine, M. A. Ragusa, D. D. Repovš
We obtain critical embeddings and the concentration-compactness principle for the anisotropic variable exponent Sobolev spaces. As an application of these results,we confirm the ex…
A regularity criterion in multiplier spaces to Navier-Stokes equations via the gradient of one velocity component
Ahmad M. Alghamdi, Sadek Gala, Maria Alessandra Ragusa
In this paper, we study regularity of weak solutions to the incompressible Navier-Stokes equations in . The main goal is to establish the regularity cri…
Generalized critical Kirchhoff-type potential systems With Neumann Boundary conditions
Nabil Chems Eddine, Maria Alessandra Ragusa
In this paper, we consider a class of quasilinear stationary Kirchhoff type potential systems with Neumann Boundary conditions, which involves a general variable exponent elliptic…
A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field
Ahmad M. Alghamdi, Sadek Gala, Maria Alessandra Ragusa
This work focuses on the 3D incompressible magnetohydrodynamic (MHD) equations with mixed pressure-velocity-magnetic field in view of Lorentz spaces. Our main result shows the weak…
On the absence of global weak solutions for a nonlinear time-fractional Schrödinger equation
Munirah Alotaibi, Mohamed Jleli, Maria Alessandra Ragusa +1
In this paper, an initial value problem for a nonlinear time-fractional Schrödinger equation with a singular logarithmic potential term is investigated. The considered problem invo…
Existence of solutions for a singular double phase in Sobolev-Orlicz spaces with variable exponents in a complete manifold
Ahmed Aberqi, Jaouad Bennouna, Omar Benslimane +1
The purpose of this paper is to study a class of double phase problems, with a singular term and a superlinear parametric term on the right-hand side. Using the method of Nehari ma…
Existence Results for double phase problem in Sobolev-Orlicz spaces with variable exponents in Complete Manifold
Ahmed Aberqi, Jaouad Bennouna, Omar Benslimane +1
In this paper, we study the existence of non-negative non-trivial solutions for a class of double-phase problems where the source term is a Caratheodory function that satisfies the…
Fractional integral inequalities via Atangana-Baleanu operators for convex and concave functions
Ahmet Ocak Akdemir, Ali Karaoglan, Maria Alessandra Ragusa +1
Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defi…
Energy estimates of harmonic maps between Riemannian manifolds
M. A. Ragusa, A. Tachikawa
Let be a bounded open set, a generic point which belongs to and , $D_α= \pa…
Regularity criteria via one directional derivative of the velocity in anisotropic Lebesgue spaces to the 3D Navier-Stokes equations
M. A. Ragusa, F. Wu
In this paper, we consider the regularity criterion for 3D incompressible Navier-Stokes equations in terms of one directional derivative of the velocity in anisotropic Lebesgue spa…
Weak solutions for a system of quasilinear elliptic equations
M. A. Ragusa, A. Razani
A system of quasilinear elliptic equations on an unbounded domain is considered. The existence of a sequence of radially symmetric weak solutions is proved via variational methods.
A regularity criterion for three-dimensional micropolar fluid equations in Besov spaces of negative regular indices
Fan Wu, Maria Alessandra Ragusa
In this article, we study regularity criteria for the 3D micropolar fluid equations in terms of one partial derivative of the velocity. It is proved that if \begin{equation*} \int^…
Sequence of radially symmetric weak solutions for some nonlocal elliptic problem in
M. Makvand Chaharlang, Maria Alessandra Ragusa, Abdolrahman Razani
In this article a nonlocal elliptic problem involving -Laplacian on unbounded domain is considered. Using variational methods and under suitable conditions, the existence of a s…
A regularity criterion in weak spaces to Boussinesq equations
Ravi P. Agarwal, S. Gala, Maria Alessandra Ragusa
In this paper, we study regularity of weak solutions to the incompressible Boussinesq equations in . The main goal is to establish the regularity criter…
Regularity of minimizers of some variational integrals with discontinuity
Maria Alessandra Ragusa, Atsushi Tachikawa
We prove regularity properties in the vector valued case for minimizers of variational integrals of the form where the integrand is not ne…
On the regularity of weak solutions of the Boussinesq equations in Besov spaces Dedicated to Enrique Zuazua on the occasion of his sixtieth birthday
A. Barbagallo, S. Gala, M. A. Ragusa +1
The main issue addressed in this paper concerns an extension of a result by Z. Zhang who proved, in the context of the homogeneous Besov space $\dot{B}_{\infty ,\infty }^{-1}(\math…
Mixed Morrey spaces and their applications to partial differential equations
M. A. Ragusa, A. Scapellato
In this paper, new classes of functions are defined. These spaces generalize Morrey spaces and give a refinement of Lebesgue spaces. Some embeddings between these new classes are a…
Holder continuity of weak solutions of p-Laplacian PDE's with VMO coefficients
C. S. Goodtich, m. A. Ragusa
We consider solutions of the -Laplacian PDE \begin{equation} \nabla\cdot\big(a(x)|Du|^{p-2}Du\big)=0,\notag \end{equation} for $x\inΩ\su…
A regularity criterion for 3D micropolar fluid flows in terms of one partial derivative of the velocity
S. Gala, M. A. Ragusa
In this work, we prove a regularity criterion for micropolar fluid flows in terms of the one partial derivative of the velocity in Morrey-Campanato space.
A regularity criterion to the 3d Boussinesq equations
A. M. Alghamdi, I. Ben Omrane, S. Gala +1
The paper deals with the regularity criterion for the weak solutions to the 3D Boussinesq equations in terms of the partial derivatives in Besov spaces. It is proved that the weak…
Interior estimates in Campanato spaces related to quadratic functionals
M. A. Ragusa, A. Tachikawa
In this paper we obtain interior estimates in Campanato spaces for the derivatives of the minimizers of quadratic functionals.
Regularity for minimizers for functionals of double phase with variable exponents
M. A. Ragusa, A. Tachikawa
The functionals of double phase type \[ \mathcal{H} (u):= \int \left(|Du|^{p} + a(x)|Du|^{q} \right) dx, ( q > p > 1, a(x)\geq 0) \] are introduced in the epoch-making paper by Col…
A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz space
R. Agarwal, S. Gala, M. A. Ragusa
In this paper, we study the regularity criterion of weak solutions to the three-dimensional (3D) MHD equations. It is proved that the solution becomes regular provided that…