Results 81 to 90 of about 644 (181)

Boundedness and Sobolev-Type Estimates for the Exponentially Damped Riesz Potential with Applications to the Regularity Theory of Elliptic PDEs

Fractal and Fractional
This paper investigates a new class of fractional integral operators, namely, the exponentially damped Riesz-type operators within the framework of variable exponent Lebesgue spaces Lp(·).
Waqar Afzal, Mujahid Abbas, Jorge E. Macías-Díaz, Armando Gallegos, Yahya Almalki   +4 more
doaj   +1 more source

Compactness of Commutators for Riesz Potential on Generalized Morrey Spaces

Mathematics
In this paper, we give the sufficient conditions for the compactness of sets in generalized Morrey spaces Mpw(·). This result is an analogue of the well-known Fréchet–Kolmogorov theorem on the compactness of a set in Lebesgue spaces Lp,p>0.
Nurzhan Bokayev, Dauren Matin, Talgat Akhazhanov, Aidos Adilkhanov   +3 more
doaj   +1 more source

Nonlinear Integral Equations with Kernels of Potential Type on a Segment

Современная математика: Фундаментальные направления, 2016
We study various classes of nonlinear equations containing an operator of potential type (Riesz potential). By the monotone operators method in the Lebesgue spaces of real-valued functions Lp(a, b) we prove global theorems on existence, uniqueness ...
S. N. Askhabov
doaj  

Properties of Laplacians and Riesz potentials on manifolds with ends.

Michigan Mathematical Journal, 1994
As is well known, the Laplacian on a compact Riemannian manifold \((M,g)\) is a Fredholm operator from \(H^ p_{s + 2}(M)\) to \(H^ p_ s (M)\), where \(H^ p_ t (M)\) is the \(t\)-th order \(L^ p\) Sobolev space on \(M\) and its Fredholm inverse is a compact operator on \(H^ p_ s (M)\). For noncompact manifolds, the situation is more complicated.
openaire   +2 more sources

Properties of scales of Kato classes, Bessel potentials, Morrey spaces, and a weak Harnack inequality for non-negative solutions of elliptic equations

Electronic Journal of Differential Equations, 2017
In this article, we study some basic properties of the scale of Kato classes related with the Bessel kernel, Lorentz spaces, and Morrey spaces. Also we characterize the weak Harnack inequality for non-negative solutions of elliptic equations in terms
Rene Erlin Castillo, Julio C. Ramos-Fernandez, Edixon M. Rojas   +2 more
doaj  

Boundedness of fractional sublinear operators on weighted grand Herz-Morrey spaces with variable exponents

Open Mathematics
This article aims to delve deeper into the weighted grand variable Herz-Morrey spaces, and try to establish the boundedness of fractional sublinear operators and their multilinear commutators within this framework.
Yang Zhenzhen, Zhang Wanjing, Zhang Jing
doaj   +1 more source

Characterization of balls by Riesz-Potentials

, 2007
Using elementary differential inequality methods we prove an improvement of a theorem of Kantorovich concerning solutions of nonlinear equations in Banach spaces.
openaire   +1 more source

Trace principle for Riesz potentials on Herz-type spaces and applications

Journal of Inequalities and Applications
We establish trace inequalities for Riesz potentials on Herz-type spaces and examine the optimality of conditions imposed on specific parameters.
M. Ashraf Bhat, G. Sankara Raju Kosuru
doaj   +1 more source

On the -Boundedness of Nonisotropic Spherical Riesz Potentials

Journal of Inequalities and Applications, 2007
We introduced the concept of nonisotropic spherical Riesz potential operators generated by the -distance of variable order on -sphere and its -boundedness were investigated.
Sarikaya MehmetZeki, Yildirim Hüseyin   +1 more
doaj  

A topology optimization algorithm for magnetic structures based on a hybrid FEM-BEM method utilizing the adjoint approach. [PDF]

Sci Rep, 2022
Wautischer G, Abert C, Bruckner F, Slanovc F, Suess D.   +4 more
europepmc   +1 more source