Results 71 to 80 of about 800 (184)

Operator Inequalities of Morrey Spaces Associated with Karamata Regular Variation

Journal of Function Spaces, 2017
Karamata regular variation is a basic tool in stochastic process and the boundary blow-up problems for partial differential equations (PDEs). Morrey space is closely related to study of the regularity of solutions to elliptic PDEs.
Jiajia Wang, Zunwei Fu, Shaoguang Shi, Ling Mi   +3 more
doaj   +1 more source

Self‐similar instability and forced nonuniqueness: An application to the 2D euler equations

Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.
Abstract Building on an approach introduced by Golovkin in the ’60s, we show that nonuniqueness in some forced partial differential equations is a direct consequence of the existence of a self‐similar linearly unstable eigenvalue: the key point is a clever choice of the forcing term removing complicated nonlinear interactions.
Michele Dolce, Giulia Mescolini
wiley   +1 more source

Morrey Spaces for Nonhomogeneous Metric Measure Spaces [PDF]

Abstract and Applied Analysis, 2013
The authors give a definition of Morrey spaces for nonhomogeneous metric measure spaces and investigate the boundedness of some classical operators including maximal operator, fractional integral operator, and Marcinkiewicz integral operators.
Yonghui, Cao, Jiang, Zhou
openaire   +3 more sources

The Boundedness of Generalized Fractional Integral Operators on Small Morrey Spaces

Cauchy: Jurnal Matematika Murni dan Aplikasi
The small Morrey space is the set of locally Lebesgue integrable functions with norm defined supremum over radius of ball . This paper aims to prove the boundedness properties of the generality of fractional integral operators in small Morrey spaces ...
Rizky Aziz Syaifudin, Corina Karim, Marjono Marjono, Hairur Rahman   +3 more
doaj   +1 more source

Supersonic flows of the Euler–Poisson system with nonzero vorticities in three‐dimensional cylinders

Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract We prove the unique existence of three‐dimensional supersonic solutions to the steady Euler–Poisson system in cylindrical nozzles. First, we establish the unique existence of irrotational solutions in a cylindrical nozzle with an arbitrary cross‐section with using weighted Sobolev norms.
Myoungjean Bae, Hyangdong Park
wiley   +1 more source

Generalized Fractional Integral Operators on Generalized Local Morrey Spaces

Journal of Function Spaces, 2015
We study the continuity properties of the generalized fractional integral operator Iρ on the generalized local Morrey spaces LMp,φ{x0} and generalized Morrey spaces Mp,φ. We find conditions on the triple (φ1,φ2,ρ) which ensure the Spanne-type boundedness
V. S. Guliyev, A. F. Ismayilova, A. Kucukaslan, A. Serbetci   +3 more
doaj   +1 more source

Regularity and separation for Grušin‐type p‐Laplace operators

Mathematische Nachrichten, Volume 298, Issue 5, Page 1727-1757, May 2025.
Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
wiley   +1 more source

Bilinear θ-type Calderón–Zygmund operators and its commutator on generalized weighted Morrey spaces over RD-spaces

Results in Applied Mathematics
An RD-space X is a space of homogeneous type in the sense of Coifman and Weiss with the extra property that a reverse doubling property holds in X.
Suixin He, Shuangping Tao
doaj   +1 more source

Some Remarks on Spaces of Morrey Type

Abstract and Applied Analysis, 2010
We deepen the study of some Morrey type spaces, denoted by Mp,λ(Ω), defined on an unbounded open subset Ω of ℝn. In particular, we construct decompositions for functions belonging to two different subspaces of Mp,λ(Ω), which allow us to prove a ...
Loredana Caso, Roberta D'Ambrosio, Sara Monsurrò   +2 more
doaj   +1 more source