Results 41 to 50 of about 644 (181)

Taylor expansion of Riesz potentials

Hiroshima Mathematical Journal, 1995
The Riesz potentials of the form \[ U_\alpha f(x)= \int_{\mathbb{R}^n} |x-y |^{\alpha-n} f(y) dy \] are considered where \(f(y)\) is supposed to fulfil the Orlicz condition with weight \(\omega\) in the form \(\int_{\mathbb{R}^n} \varphi_p(f(y)) \omega (|y|) dy< \infty\), where \(\varphi_p(r)\) and \(\omega(r)\) are positive, monotone functions on \((0,
Shimomura, Tetsu, Mizuta, Yoshihiro
openaire   +2 more sources

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

Semigroup Maximal Functions, Riesz Transforms, and Morrey Spaces Associated with Schrödinger Operators on the Heisenberg Groups

Journal of Function Spaces, 2020
Let L=−Δℍn+V be a Schrödinger operator on the Heisenberg group ℍn, where Δℍn is the sub-Laplacian on ℍn and the nonnegative potential V belongs to the reverse Hölder class Bq with q∈Q/2,∞. Here, Q=2n+2 is the homogeneous dimension of ℍn.
Hua Wang
doaj   +1 more source

Spectral Analysis of One-Dimensional Dirac System with Summable Potential and Sturm- Liouville Operator with Distribution Coefficients

Современная математика: Фундаментальные направления, 2020
We consider one-dimensional Dirac operatorLP,U with Birkhoff regular boundary conditions and summable potential P(x) on[0, π]. We introduce strongly and weakly regular operators. In both cases, asymptotic formulas for eigenvalues are found.
A. M. Savchuk, I. V Sadovnichaya
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

Existence, symmetry, and regularity of ground states of a nonlinear Choquard equation in the hyperbolic space

Advances in Nonlinear Analysis
In this study, we explore the positive solutions of a nonlinear Choquard equation involving the Green kernel of the fractional operator (−ΔBN)−α⁄2{\left(-{\Delta }_{{{\mathbb{B}}}^{N}})}^{-\alpha /2} in the hyperbolic space, where ΔBN{\Delta }_{{{\mathbb{
Gupta Diksha, Sreenadh Konijeti
doaj   +1 more source

On the (p,q)-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 λ-distance of variable order on λ-sphere and its (p,q)-boundedness were investigated.
Mehmet Zeki Sarikaya, Hüseyin Yildirim   +1 more
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 potential on the Heisenberg group and modified Morrey spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In this paper we study the fractional maximal operator Mα, 0 ≤ α < Q and the Riesz potential operator ℑα, 0 < α < Q on the Heisenberg group in the modified Morrey spaces L͂p,λ(ℍn), where Q = 2n + 2 is the homogeneous dimension on ℍn.
Guliyev Vagif S., Mammadov Yagub Y.
doaj   +1 more source

Inequalities for integral operators in Hölder–Morrey spaces on differential forms

Journal of Inequalities and Applications, 2023
The Hölder–Morrey spaces Λ κ p , τ ( Ω , ∧ l ) $\Lambda _{\kappa}^{p,\tau}(\Omega ,\wedge ^{l})$ are proposed in this paper. The imbedding inequalities for homotopy operator are derived in Hölder–Morrey spaces on differential forms. The Hölder continuity
Xuexin Li, Jianwei Wang, Ning Pan
doaj   +1 more source