Results 51 to 60 of about 800 (184)

The distribution function in the Morrey space [PDF]

open access: yesProceedings of the American Mathematical Society, 1981
For 1 ⩽ p
openaire   +2 more sources

Quasilinear Degenerate Evolution Systems Modelling Biofilm Growth: Well‐Posedness and Qualitative Properties

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14890-14908, 15 November 2025.
ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley   +1 more source

The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem

open access: yesMathematische Nachrichten, Volume 298, Issue 10, Page 3331-3375, October 2025.
Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh   +1 more
wiley   +1 more source

MORREY SPACES AND FRACTIONAL OPERATORS [PDF]

open access: yesJournal of the Australian Mathematical Society, 2010
AbstractThe relation between the fractional integral operator and the fractional maximal operator is investigated in the framework of Morrey spaces. Applications to the Fefferman–Phong and the Olsen inequalities are also included.
openaire   +1 more source

Morrey-Sobolev Spaces on Metric Measure Spaces [PDF]

open access: yesPotential Analysis, 2013
In this article, the authors introduce the Newton-Morrey-Sobolev space on a metric measure space $(\mathscr{X},d,μ)$. The embedding of the Newton-Morrey-Sobolev space into the Hölder space is obtained if $\mathscr{X}$ supports a weak Poincaré inequality and the measure $μ$ is doubling and satisfies a lower bounded condition. Moreover, in the Ahlfors $Q$
Lu, Yufeng, Yang, Dachun, Yuan, Wen
openaire   +3 more sources

Characterization of p-Adic Mixed λ-Central Bounded Mean Oscillation Space via Commutators of p-Adic Hardy-Type Operators

open access: yesJournal of Function Spaces
In this note, we define p-adic mixed Lebesgue space and mixed λ-central Morrey-type spaces and characterize p-adic mixed λ-central bounded mean oscillation space via the boundedness of commutators of p-adic Hardy-type operators on p-adic mixed Lebesgue ...
Naqash Sarfraz   +3 more
doaj   +1 more source

Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces

open access: yesJournal of Function Spaces, 2019
This research is concerned with second-order linear differential equation f′′+A(z)f=0, where A(z) is an analytic function in the unit disc. On the one hand, some sufficient conditions for the solutions to be in α-Bloch (little α-Bloch) space are found by
Jianren Long   +3 more
doaj   +1 more source

A note on the magnetic Steklov operator on functions

open access: yesMathematika, Volume 71, Issue 4, October 2025.
Abstract We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov operators which are unitarily equivalent to the classical Steklov operator and study bounds for the ...
Tirumala Chakradhar   +3 more
wiley   +1 more source

Sobolev Embedding Theorem for the Sobolev-Morrey spaces

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2016
In this paper we prove a Sobolev Embedding Theorem for Sobolev-Morrey spaces. The proof is based on the Sobolev Integral Representation Theorem and on a recent results on Riesz potentials in generalized Morrey spaces of Burenkov, Gogatishvili, Guliyev ...
V.I. Burenkov, N.A. Kydyrmina
doaj  

Grand Triebel–Lizorkin–Bourgain–Morrey spaces: Nontriviality, embeddings, and boundedness of certain operators

open access: yesBulletin of Mathematical Sciences
Let [Formula: see text], [Formula: see text], and [Formula: see text] denote the Triebel–Lizorkin–Bourgain–Morrey space, whose special case was originally introduced by Bourgain.
Yangningrui Wan, Dachun Yang, Yirui Zhao
doaj   +1 more source

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