Results 71 to 80 of about 471 (175)

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

Boundedness of p-Adic Hardy Operators and Their Commutators on p-Adic Central Morrey and BMO Spaces

Journal of Function Spaces and Applications, 2013
We obtain the sharp bounds of p-adic Hardy operators on p-adic central Morrey spaces and p-adic λ-central BMO spaces, respectively. We also establish the λ-central BMO estimates for commutators of p-adic Hardy operators on p-adic central Morrey spaces.
Qing Yan Wu, Ling Mi, Zun Wei Fu
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

Some Estimates of Rough Bilinear Fractional Integral

Journal of Function Spaces and Applications, 2012
We study the boundedness of rough bilinear fractional integral BΩ,α on Morrey spaces Lp,λ(ℝn) and modified Morrey spaces L~p,λ(ℝn) and obtain some sufficient and necessary conditions on the parameters.
Yun Fan, Guilian Gao
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

Dirichlet boundary value problems for uniformly elliptic equations in modified local generalized Sobolev–Morrey spaces

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In this paper, we study the boundedness of the sublinear operators, generated by Calderón–Zygmund operators in local generalized Morrey spaces. By using these results we prove the solvability of the Dirichlet boundary value problem for polyharmonic ...
Vagif Guliyev, Tahir Gadjiev, Shahla Galandarova   +2 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

Journal 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

Nuclear Embeddings of Morrey Sequence Spaces and Smoothness Morrey Spaces

Bulletin of the Malaysian Mathematical Sciences Society
AbstractWe 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 $$\Omega \subset {{\mathbb {R}}}^{{d}}$$ Ω ⊂ R
Dorothee D. Haroske, Leszek Skrzypczak
openaire   +1 more source

On a necessary condition for belonging of a function to periodic generalized Nikol’sky-Besov-Morrey space in terms of strong summability of Fourier series

Қарағанды университетінің хабаршысы. Математика сериясы, 2016
This paper is dedicated to the investigation of strong summability in the generalized Morrey spaces. First, we study boundedness of the Hardy-Littlewood maximal function on generalized Morrey spaces.
Zh.Zh. Baituyakova
doaj