Results 91 to 100 of about 5,117,857 (222)

Embedding from Morrey spaces to Morrey-Stummel spaces

open access: yesHilbert Journal of Mathematical Analysis
In this paper, we study the relation between Stummel spaces, Morrey spaces, and Lebesgue spaces. We show the existence of embedding from Lebesgue spaces to Stummel spaces, and from Morrey spaces to Stummel spaces. The key of showing the existence of embeddings relies on the boundedness of Riesz potential operator both in Morrey spaces and Lebesgue ...
Artmo Dihartomo Laweangi, Hendra Gunawan
openaire   +1 more source

Morrey-Sobolev Spaces on Metric Measure Spaces [PDF]

open access: yesPotential Analysis, 2013
Potential Anal.
Lu, Yufeng, Yang, Dachun, Yuan, Wen
openaire   +3 more sources

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

open access: yesJournal 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

L∞ estimates and integrability by compensation in Besov-Morrey spaces and applications [PDF]

open access: yes, 2017
estimates in the integrability by compensation result of H. Wente fail in dimension larger than two when Sobolev spaces are replaced by the ad-hoc Morrey spaces (in dimension ).
Keller, Laura Gioia Andrea
core  

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

open access: yesJournal 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

Boundedness of a Class of Oscillatory Singular Integral Operators and Their Commutators with Rough Kernel on Weighted Central Morrey Spaces

open access: yesMathematics, 2020
In this paper, we establish the boundedness of a class of oscillatory singular integral operators with rough kernel on central Morrey spaces. Moreover, the boundedness for each of their commutators on weighted central Morrey spaces was also obtained.
Yongliang Zhou, Dunyan Yan, Mingquan Wei
doaj   +1 more source

Nuclear embeddings of Morrey sequence spaces and smoothness Morrey spaces

open access: yes, 2022
We study nuclear embeddings for spaces of Morrey type, both in its sequence space version and as smoothness spaces of functions defined on a bounded domain $Ω\subset {\mathbb R}^d$. This covers, in particular, the meanwhile well-known and completely answered situation for spaces of Besov and Triebel-Lizorkin type defined on bounded domains which has ...
Haroske, Dorothee D., Skrzypczak, Leszek
openaire   +3 more sources

Morrey Spaces for Nonhomogeneous Metric Measure Spaces [PDF]

open access: yesAbstract 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

Regularity and separation for Grušin‐type p‐Laplace operators

open access: yesMathematische 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

On the continuity of solutions to anisotropic elliptic operators in the limiting case

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1548-1567, May 2025.
Abstract We show that local weak solutions to anisotropic elliptic equations with bounded and measurable coefficients, whose prototype is −∑i=1N∂i(|∂iu|pi−2∂iu)=0,with1
Simone Ciani   +2 more
wiley   +1 more source

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