Results 31 to 40 of about 2,630 (160)

Parabolic oblique derivative problem in generalized Morrey spaces

, 2013
We study the regularity of the solutions of the oblique derivative problem for linear uniformly parabolic equations with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized Morrey space than the ...
A Akbulut, A Maugeri, D Gilberg, D Sarason, E Nakai, EB Fabes, F Chiarenza, F Chiarenza, F John, LG Softova, LG Softova, LG Softova, LG Softova, Lubomira G. Softova, M Bramanti, M Bramanti, P Acquistapace, PW Jones, R Adams, VS Guliyev   +19 more
core   +1 more source

Parabolic equations with variably partially VMO coefficients [PDF]

St. Petersburg Mathematical Journal, 2012
We prove the $W^{1,2}_{p}$-solvability of second order parabolic equations in nondivergence form in the whole space for $p\in (1,\infty)$. The leading coefficients are assumed to be measurable in one spatial direction and have vanishing mean oscillation (VMO) in the orthogonal directions and the time variable in each small parabolic cylinder with the ...
openaire   +3 more sources

An alternative approach to partial regularity of quasilinear elliptic systems with VMO coefficients

Journal of Inequalities and Applications, 2016
In this paper, we provide an alternative approach to partially Hölder continuity of some quasilinear elliptic systems with discontinuous coefficients under natural growth.
Haiyan Yu, Shenzhou Zheng, Yuxia Tong
doaj   +1 more source

Fractional differentiability for solutions of nonlinear elliptic equations

, 2016
We study nonlinear elliptic equations in divergence form $${\operatorname{div}}{\mathcal A}(x,Du)={\operatorname{div}}G.$$ When ${\mathcal A}$ has linear growth in $Du$, and assuming that $x\mapsto{\mathcal A}(x,\xi)$ enjoys $B^\alpha_{\frac{n}\alpha, q}$
A Clop, A Clop, A Passarelli di Napoli, A Passarelli di Napoli, A. Clop, A. L. Baisón, A. Passarelli di Napoli, G Mingione, H Triebel, J Kinnunen, J Kristensen, J Kristensen, J. Orobitg, K Astala, L Grafakos, L Grafakos, M Giaquinta, P Koskela, R Giova, R. Giova, T Iwaniec, T Iwaniec, T Kuusi, T Kuusi, V Cruz   +24 more
core   +1 more source

Regularity theory for nonlocal equations with VMO coefficients

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2022
We prove higher regularity for nonlinear nonlocal equations with possibly discontinuous coefficients of VMO type in fractional Sobolev spaces. While for corresponding local elliptic equations with VMO coefficients it is only possible to obtain higher integrability, in our nonlocal setting we are able to also prove a substantial amount of higher ...
openaire   +3 more sources

W2,p a priori estimates for nonvariational operators: the sharp maximal function technique

Bruno Pini Mathematical Analysis Seminar, 2018
We consider a nonvariational degenerate elliptic operator, structured on a system of left invariant, 1-homogeneous, Hörmander vector fields on a Carnot group, where the coefficient matrix is symmetric, uniformly positive on a bounded domain and the ...
Marco Bramanti
doaj   +1 more source

Essential and toxic elements intake from botanical extracts: a probabilistic risk–benefit evaluation within the Italian dietary context

Journal of the Science of Food and Agriculture, Volume 106, Issue 7, Page 4060-4072, May 2026.
Abstract BACKGROUND Botanical extracts are widely consumed for their claimed health benefits, yet their safety profile with respect to chronic consumption remains poorly characterized. Understanding the potential health risks associated with their inorganic content is a crucial issue for ensuring safe use, along with a characterization of the ...
Giovanni Tommaso Lanza, Maria Olga Varrà, Lenka Husáková, Martina Piroutková, Jan Patočka, Emanuela Zanardi   +5 more
wiley   +1 more source

Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces

Open Mathematics, 2016
We obtain the global weighted Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO coefficients.
Guliyev Vagif S., Omarova Mehriban N.
doaj   +1 more source

PARTIAL REGULARITY OF THE MINIMIZERS OF QUADRATIC FUNCTIONALS WITH VMO COEFFICIENTS

Journal of the London Mathematical Society, 2005
Summary: The paper investigates the partial regularity of the minimizers for quadratic functionals whose integrands have VMO coefficients in principal part and nonlinear terms that are Carathéodory functions. We use some majorizations for the functional, rather than the well known Euler equation associated to it.
RAGUSA, Maria Alessandra, TACHIKAWA ATSUSHI   +1 more
openaire   +3 more sources

Ultrafine Molybdenum Wire Braided Neurointerventional Implants: Bridging Biodegradability and Neurovascular Safety for Stroke Treatment

Advanced Science, Volume 13, Issue 1, 5 January 2026.
Molybdenum (Mo), with its unique strength, uniform corrosion, and radiopacity, enables innovative biodegradable implants for transformative stroke therapy. Abstract Neurovascular implants for stroke intervention face a critical dilemma: permanent devices (e.g., nitinol stents, platinum coils) often trigger chronic inflammation and recurrence, whereas ...
Yunong Shen, Yiming Huang, Yang Zhang, Chunhao Yu, Hanqi Liu, Dong Bian, Di Wu, Wu Wang, Xunming Ji, Yufeng Zheng, Miaowen Jiang, Ming Li   +11 more
wiley   +1 more source