Results 91 to 100 of about 5,117,857 (222)
Embedding from Morrey spaces to Morrey-Stummel spaces
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
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Morrey-Sobolev Spaces on Metric Measure Spaces [PDF]
Potential Anal.
Lu, Yufeng, Yang, Dachun, Yuan, Wen
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Self‐similar instability and forced nonuniqueness: An application to the 2D euler equations
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]
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
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
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
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
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Morrey Spaces for Nonhomogeneous Metric Measure Spaces [PDF]
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
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Regularity and separation for Grušin‐type p‐Laplace operators
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
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

