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Boundedness of multilinear commutators of singular integral operators on variable Herz-type spaces
In this paper, we establish the boundedness of multilinear commutators of Hardy–Littlewood maximal operators on Herz-type spaces where all the...
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Ϝ-Contraction of Hardy–Rogers type in supermetric spaces with applications
This article focuses on studying some fixed-point results via Ϝ -contraction of Hardy–Rogers type in the context of supermetric space and ordered...
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The viscoelastic paradox in a nonlinear Kelvin–Voigt type model of dynamic fracture
In this paper, we consider a dynamic model of fracture for viscoelastic materials, in which the constitutive relation, involving the Cauchy stress...
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On Taylor’s formulas in fractional calculus: overview and characterization for the Caputo derivative
This paper discusses some aspects of Taylor’s formulas in fractional calculus, focusing on use of Caputo’s definition. Such formulas consist of a...
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Integrals involving log and polylogarithms associated with Euler sums
Integrals that contain polylogarithmic functions in the integrand are occasionally represented in closed form by utilizing specialized Euler sums. We...
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Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach
In this work, we derive a system of Boltzmann-type equations to describe the spread of contact-based infections, such as SARS-CoV-2 virus, at the...
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Convergence of generalized MIT bag models to Dirac operators with zigzag boundary conditions
This work addresses the resolvent convergence of generalized MIT bag operators to Dirac operators with zigzag type boundary conditions. We prove that...
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Deformations and q-Convolutions. Old and New Results
This paper is the survey of some of our results related to q -deformations of the Fock spaces and related to q -convolutions for probability measures...
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On a class of Kirchhoff problems with nonlocal terms and logarithmic nonlinearity
In this present paper, we concern investigating nonlinear Kirchhoff-type problems subject to Dirichlet boundary conditions, incorporating nonlocal...
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Well-posedness for a class of pseudo-differential hyperbolic equations on the torus
In this paper we establish the well-posedness of the Cauchy problem for a class of pseudo-differential hyperbolic equations on the torus. The class...
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Uniform-in-mass global existence for 4D Dirac–Klein–Gordon equations
We are interested in four-dimensional Dirac–Klein–Gordon equations, a fundamental model in particle physics. The main goal of this paper is to...
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An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces
We revisit Yudovich’s well-posedness result for the 2-dimensional Euler equations for an inviscid incompressible fluid on either a sufficiently...
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Local and global strong solutions to the 3D Navier–Stokes equations with dam**
This paper studies regularity properties of the weak solutions to the 3D Navier–Stokes equations with dam** in the whole space and bounded domains....