Results 41 to 50 of about 11,803 (243)

Sufficient conditions for the precompactness of sets in Local Morrey-type spaces

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
In this paper we give sufficient conditions for the pre-compactness of sets in local Morrey-type spaces LMpθ,w(·)(Rn). For w(r) = r−λ, θ = ∞, 0 ≤ λ ≤ np there follows a known result for the Morrey spacesMλp (Rn). In the case λ = 0 this is the well-known
D.T. Matin   +2 more
doaj   +1 more source

Sharp Morrey-Sobolev inequalities on complete Riemannian Manifolds

open access: yes, 2014
Two Morrey-Sobolev inequalities (with support-bound and $L^1-$bound, respectively) are investigated on complete Riemannian manifolds with their sharp constants in $\mathbb R^n$.
Kristály, Alexandru
core   +1 more source

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

Some Estimates of Rough Bilinear Fractional Integral

open access: yesJournal of Function Spaces and Applications, 2012
We study the boundedness of rough bilinear fractional integral BΩ,α on Morrey spaces Lp,λ(ℝn) and modified Morrey spaces L~p,λ(ℝn) and obtain some sufficient and necessary conditions on the parameters.
Yun Fan, Guilian Gao
doaj   +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

Commutators on Weighted Morrey Spaces on Spaces of Homogeneous Type

open access: yesAnalysis and Geometry in Metric Spaces, 2020
In this paper, we study the boundedness and compactness of the commutator of Calderón– Zygmund operators T on spaces of homogeneous type (X, d, µ) in the sense of Coifman and Weiss.
Gong Ruming   +3 more
doaj   +1 more source

Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in $R^n$

open access: yes, 2016
We prove the boundedness of global classical solutions for the semilinear heat equation $u_t-\Delta u= |u|^{p-1}u$ in the whole space $R^n$, with $n\ge 3$ and supercritical power $p>(n+2)/(n-2)$.
Adams   +48 more
core   +2 more sources

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

New pre-dual space of Morrey space [PDF]

open access: yes, 2011
In this paper we give new characterization of the classical Morrey space. Complementary global Morrey-type spaces are introduced. It is proved that for particular values of parameters these spaces give new pre-dual space of the classical Morrey space. We
Gogatishvili, A.   +2 more
core  

Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz--Morrey spaces of the third kind

open access: yes, 2018
In the present paper, we will characterize the boundedness of the generalized fractional integral operators $I_{\rho}$ and the generalized fractional maximal operators $M_{\rho}$ on Orlicz spaces, respectively.
Deringoz, Fatih   +4 more
core   +1 more source

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