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

