Results 71 to 80 of about 11,627 (244)

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

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

Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces

open access: yesJournal of Function Spaces, 2019
This research is concerned with second-order linear differential equation f′′+A(z)f=0, where A(z) is an analytic function in the unit disc. On the one hand, some sufficient conditions for the solutions to be in α-Bloch (little α-Bloch) space are found by
Jianren Long   +3 more
doaj   +1 more source

Vector-valued multilinear singular integrals with nonsmooth kernels and commutators on generalized weighted Morrey space

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we prove weighted norm inequalities for vector-valued multilinear singular integrals with nonsmooth kernels and commutators on generalized weighted Morrey space.
Nan Zhao, Jiang Zhou
doaj   +1 more source

Notes on commutators and Morrey spaces

open access: yesHokkaido Mathematical Journal, 2003
Let \(I_\alpha ...
KOMORI, Yasuo, MIZUHARA, Takahiro
openaire   +3 more sources

Capsule release surgery temporarily reduces contracture in a rat elbow model of arthrofibrosis

open access: yesJournal of Orthopaedic Research, Volume 43, Issue 1, Page 23-36, January 2025.
Abstract Elbow trauma can lead to joint contracture and reduced range of motion (ROM). Nonsurgical interventions can improve ROM, but in some cases capsule release surgery is required. Although surgery can improve ROM, it often does not restore full ROM. Thus, alternatives are needed.
Austin J. Scholp   +10 more
wiley   +1 more source

Sobolev Embedding Theorem for the Sobolev-Morrey spaces

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2016
In this paper we prove a Sobolev Embedding Theorem for Sobolev-Morrey spaces. The proof is based on the Sobolev Integral Representation Theorem and on a recent results on Riesz potentials in generalized Morrey spaces of Burenkov, Gogatishvili, Guliyev ...
V.I. Burenkov, N.A. Kydyrmina
doaj  

Characterization of p-Adic Mixed λ-Central Bounded Mean Oscillation Space via Commutators of p-Adic Hardy-Type Operators

open access: yesJournal of Function Spaces
In this note, we define p-adic mixed Lebesgue space and mixed λ-central Morrey-type spaces and characterize p-adic mixed λ-central bounded mean oscillation space via the boundedness of commutators of p-adic Hardy-type operators on p-adic mixed Lebesgue ...
Naqash Sarfraz   +3 more
doaj   +1 more source

‘Something I've carried with me’: Visibility and vulnerability within the writing journeys of preservice secondary English teachers

open access: yesLiteracy, Volume 59, Issue 1, Page 8-20, January 2025.
Abstract There is an assumption that English teachers identify as writers. This article explores the stories of three secondary preservice English teachers, their descriptions of their writing experiences and their self‐perceived vulnerabilities around writing.
Aisling Walters
wiley   +1 more source

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