Results 71 to 80 of about 4,700,340 (270)
Journal of Function Spaces, 2022 In this paper, we establish the boundedness of the modified fractional integral operator from mixed Morrey spaces to the bounded mean oscillation space and Lipschitz spaces, respectively.
M. Wei, Lanyin Sun
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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
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Advances in Nonlinear Analysis, 2021 This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
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On Sobolev-type Inequalities on Morrey Spaces of an Integral Form
Taiwanese journal of mathematics, 2022 We prove Sobolev-type inequalities for modified Riesz potentials of functions in Morrey spaces of an integral form over non-doubling metric measure spaces. Our results are new even for the doubling metric measure setting.
T. Ohno, T. Shimomura
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MORREY SPACES AND FRACTIONAL OPERATORS [PDF]
Journal 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.
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Nuclear embeddings of Morrey sequence spaces and smoothness Morrey spaces
, 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
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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
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Proper Inclusion Between Vanishing Morrey Spaces and Morrey Spaces
Tensor: Pure and Applied Mathematics Journal, 2021 In this paper, we give an explicit function which belongs to the Morrey spaces but not in the vanishing Morrey spaces. Therefore, we obtain that the Morrey spaces contain the vanishing Morrey spaces properly.
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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
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Journal of Function Spaces, 2017 We give sufficient conditions for subsets to be precompact sets in variable Morrey spaces. Then we obtain the boundedness of the commutator generated by a singular integral operator and a BMO function on the variable Morrey spaces.
Wei Wang, Jingshi Xu
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