Results 41 to 50 of about 2,630 (160)

Regularity in generalized Morrey spaces of solutions to higher order nondivergence elliptic equations with VMO coefficients

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
We study the boundedness of the sublinear integral operators generated by Calderón–Zygmund operator and their commutators with $\mathit{BMO}$ functions on generalized Morrey spaces.
Tahir Gadjiev   +2 more
doaj   +1 more source

Characterization of Visceral Adipose Tissue Proteome Reveals Metabolic Changes and Inflammatory Signatures in Severe Obesity

open access: yesObesity, Volume 34, Issue 1, Page 127-137, January 2026.
ABSTRACT Objective Severe obesity poses a major public health concern due to its links with cardiometabolic complications and mortality. Visceral adipose tissue (VAT) plays a key role in these processes through distinct molecular features. This study aimed to characterize the VAT proteome of individuals with severe obesity and investigate its ...
Prince Dadson   +10 more
wiley   +1 more source

On the L_p-solvability of higher order parabolic and elliptic systems with BMO coefficients

open access: yes, 2010
We prove the solvability in Sobolev spaces for both divergence and non-divergence form higher order parabolic and elliptic systems in the whole space, on a half space, and on a bounded domain.
A. Friedman   +29 more
core   +1 more source

High Order Fefferman-Phong Type Inequalities in Carnot Groups and Regularity for Degenerate Elliptic Operators plus a Potential

open access: yesAbstract and Applied Analysis, 2014
Let {X1,X2,…,Xm} be the basis of space of horizontal vector fields in a Carnot group G=(Rn ...
Pengcheng Niu, Kelei Zhang
doaj   +1 more source

Operation of Microgrids Under Uncertainty With Critical Loads

open access: yesIET Generation, Transmission &Distribution, Volume 20, Issue 1, January/December 2026.
This paper, proposes a customized stochastic adaptive robust optimization method to handle various uncertainties that a microgrid serving critical loads faces including electricity prices, duration and time of unplanned grid power outages, and renewable energy sources output.
Abolfazl Mokhtari   +1 more
wiley   +1 more source

Interior Lp-estimates and local Ap-weights [PDF]

open access: yes, 2017
Let Ω be a nonempty open proper and connected subset of Rn, n≥3. Consider the elliptic Schrödinger type operator LEu=AEu+Vu=−Σijaij(x)uxixj+Vu in Ω, and the linear parabolic operator LPu=APu+Vu= ut−Σaij(x,t)uxixj+Vu in ΩT=Ω×(0,T), where the coefficients ...
Cardoso, Isolda Eugenia   +2 more
core  

The cauchy-dirichlet problem for parabolic equations with VMO coefficients

open access: yesMathematical and Computer Modelling, 2005
The paper deals with the \(W^{2,1}_p(Q_T)\)-regularity and solvability of the Cauchy-Dirichlet problem for linear second-order, uniformly parabolic equations of the form \[ {\mathcal L}u\equiv \partial_tu- \sum_{i,j=1}^n a_{ij}(x)u_{x'_ix'_j}+ \sum_{i=1}^n b_i(x)u_{x'_i} +cu=f \] with \(x=(x',t)\) lying in the cylinder \(Q_T=\Omega\times(0,T)\subset ...
openaire   +3 more sources

Morrey estimates for a class of noncoercive elliptic systems with VMO-coefficients

open access: yesRendiconti Lincei, Matematica e Applicazioni, 2021
We consider a non-coercive vectorial boundary value problem with non smooth coefficients and a drift term and we study the regularity of a solution u and its gradient in the framework of suitable Morrey spaces.
Giuseppa Rita Cirmi   +2 more
openaire   +2 more sources

Holder continuity for vector-valued minimizers of quadratic functionals

open access: yesElectronic Journal of Differential Equations, 2020
In this article we give a sufficient condition for interior everywhere Holder continuity of weak minimizers of a class of quadratic functionals with coefficients $A_{ij}^{\alpha\beta}(\cdot,u)$ belonging to the VMO-class, uniformly with respect to $u\
Josef Danecek, Eugen Viszus
doaj  

The Green function estimates for strongly elliptic systems of second order

open access: yes, 2007
We establish existence and pointwise estimates of fundamental solutions and Green's matrices for divergence form, second order strongly elliptic systems in a domain $\Omega \subseteq \mathbb{R}^n$, $n \geq 3$, under the assumption that solutions of the ...
Hofmann, Steve, Kim, Seick
core   +4 more sources

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