Results 71 to 80 of about 8,913,878 (219)

Continuous functions and Riesz type potentials in homogeneous spaces

, 2015
We develop a potential theory for a Riesz type kernel in a homogeneous space and characterize the compact sets K with capacity zero as the sets K for which every continous function f on K is the restriction to K of a continuous potential Uσfk of an ...
Sjödin, Tord,
core   +1 more source

Well‐Posedness and Analyticity of Solutions to the Stationary MHD Equations

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 8, August 2026.
ABSTRACT We consider the stationary problem of the MHD equations in R3$\mathbb {R}^3$. The aim of this article is to show existence, uniqueness, regularity, and analyticity of solutions in the scaling invariant homogeneous Besov space Ḃp,q−1+3/p$\dot{B}^{-1 + 3/p}_{p, q}$ for 1⩽p<3$1 \leqslant p < 3$ and 1⩽q⩽∞$1 \leqslant q \leqslant \infty$.
Kento Sube
wiley   +1 more source

Weighted Morrey Spaces Related to Certain Nonnegative Potentials and Riesz Transforms

Journal of Function Spaces, 2019
Let L=-Δ+V be a Schrödinger operator, where Δ is the Laplacian on Rd and the nonnegative potential V belongs to the reverse Hölder class RHq for q≥d. The Riesz transform associated with the operator L=-Δ+V is denoted by R=∇(-Δ+V)-1/2 and the dual Riesz ...
Hua Wang
doaj   +1 more source

Low eigenvalues of the p$p$–Laplacian in general open sets

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We consider the minmax Ljusternik–Schnirelmann levels of the constrained p$p$–Dirichlet integral on a general open set of the Euclidean space. We show that, whenever one of these levels lies below the threshold given by the Lp$L^p$ Poincaré constant “at infinity,” it actually defines an eigenvalue of the Dirichlet p$p$–Laplacian. We also prove
Lorenzo Brasco, Luca Briani, Francesca Prinari   +2 more
wiley   +1 more source

On generalization of the quasi homogeneous Riesz Potential [PDF]

, 2005
In this paper, a generalization of the quasi homogeneous Riesz Potential has been defined using non-isotropic quasi-distance and its $L_p (p \\geq 1)$ continuity ...
Yıldırım, Hüseyin
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Riesz potentials in the local variable Morrey-Lorentz spaces and some applications

Miskolc Mathematical Notes
In this paper, we prove the boundedness of the Riesz potential ...
Canay Aykol, J. Javanshir Hasanov
doaj   +1 more source

Riesz potential operators and inverses via fractional centred derivatives

International Journal of Mathematics and Mathematical Sciences, 2006
Fractional centred differences and derivatives definitions are proposed, generalizing to real orders the existing ones valid for even and odd positive integer orders. For each one, suitable integral formulations are obtained.
Manuel Duarte Ortigueira
doaj   +1 more source

Finite Element Approximation for a Reformulation of a 3D Fluid–2D Plate Interaction System

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT We study a finite element approximation of a coupled fluid‐structure interaction consisting of a three‐dimensional incompressible viscous fluid governed by the unsteady Stokes equations and a two‐dimensional elastic plate. To avoid the use of H2−$$ {H}^2- $$conforming or nonconforming ℙ2$$ {\mathbb{P}}_2 $$‐Morley plate elements, the fourth ...
Lander Besabe, Hyesuk Lee
wiley   +1 more source

Riesz-Fejér Inequalities for Harmonic Functions

, 2020
© 2018, Springer Nature B.V. In this article, we prove the Riesz - Fejér inequality for complex-valued harmonic functions in the harmonic Hardy space hp for all p > 1. The result is sharp for p ∈ (1,2]. Moreover, we prove two variant forms of Riesz-Fejér

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Necessary and sufficient conditions for the boundedness of the anisotropic Riesz potential in anisotropic modified Morrey spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
We prove that the anisotropic fractional maximal operator Mα,σ and the anisotropic Riesz potential operator Iα,σ, 0 < α < ∣σ∣ are bounded from the anisotropic modified Morrey space L̃1,b,σ(Rn) to the weak anisotropic modified Morrey space WL̃q,b,σ(Rn) if
Dzhabrailov Malik S., Khaligova Sevinc Z.   +1 more
doaj   +1 more source