Results 71 to 80 of about 4,570,213 (277)
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
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
openaire +2 more sources
We first introduce some new Morrey type spaces containing generalized Morrey space and weighted Morrey space as special cases. Then, we discuss the strong-type and weak-type estimates for a class of Calderón–Zygmund type operators Tθ in these new Morrey ...
Hua Wang
doaj +1 more source
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
In the present paper, we will characterize the boundedness of the generalized fractional integral operators $I_{\rho}$ and the generalized fractional maximal operators $M_{\rho}$ on Orlicz spaces, respectively.
Deringoz, Fatih+4 more
core +1 more source
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
Proper inclusions of Morrey spaces
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Mochammad Idris+2 more
openaire +3 more sources
Capsule release surgery temporarily reduces contracture in a rat elbow model of arthrofibrosis
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
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
The distribution function in the Morrey space [PDF]
For 1 ⩽ p ⩽ ∞ 1 \leqslant p \leqslant \infty , we consider p p -integrable functions on a finite cube Q 0 {Q_0} in R n {{\mathbf {R}}^n}
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