Results 81 to 90 of about 1,350 (213)

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

Operator Inequalities of Morrey Spaces Associated with Karamata Regular Variation

open access: yesJournal 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   +3 more
doaj   +1 more source

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

The Boundedness of Generalized Fractional Integral Operators on Small Morrey Spaces

open access: yesCauchy: 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   +3 more
doaj   +1 more source

Generalized Non-Homogeneous Morrey Spaces And Olsen Inequality

open access: yes, 2008
In this paper, we shall discuss some properties of generalized non-homogeneous Morrey spaces. In addition, we will also prove the Olsen inequality in the non-homogeneous setting.
H. Gunawan, .   +3 more
core  

Sifat-sifat inklusi pada Ruang Morrey Kecil [PDF]

open access: yes, 2020
INDONESIA: Sifat inklusi merupakan sifat yang membahas keterkaitan anggota antar ruang. Setiap ruang memiliki sifat inklusi. Contoh mudahnya yang sering kita jumpai, Z⊂R. Sebelumnya, sifat-sifat inklusi telah diteliti di Ruang Morrey.
Mufaridho, Lailatul Maziyah Wildan
core  

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

Generalized Fractional Integral Operators on Generalized Local Morrey Spaces

open access: yesJournal 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   +3 more
doaj   +1 more source

Partial regularity for variational integrals with Morrey–Hölder zero‐order terms, and the limit exponent in Massari's regularity theorem

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We revisit the partial C1,α$\mathrm{C}^{1,\alpha }$ regularity theory for minimizers of non‐parametric integrals with emphasis on sharp dependence of the Hölder exponent α$\alpha$ on structural assumptions for general zero‐order terms. A particular case of our conclusions carries over to the parametric setting of Massari's regularity theorem ...
Thomas Schmidt, Jule Helena Schütt
wiley   +1 more source

Morrey spaces, weak Morrey spaces and composition operator

open access: yesGulf Journal of Mathematics
In a self-contained presentation, we discuss the Morrey and weak-Morrey spaces. Boundedness and compactness of the composition operator defined on these spaces are also studied.
Rene Erlin Castillo   +2 more
openaire   +1 more source

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