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A higher integrability theorem from a reverse weighted inequality

Bulletin of the London Mathematical Society, 2019
In this paper, we establish some weighted Muckenhoupt‐ and Gehring‐type inequalities. These are obtained by employing new inequalities of Hardy type. We also present a higher integrability result.
S. Saker, D. O’Regan, R. Agarwal
semanticscholar   +1 more source

Local higher integrability for unsteady motion equations of generalized Newtonian fluids

, 2020
In this paper, we show local higher integrability of the gradient of weak solutions for unsteady motions of generalized Newtonian fluids including electrorheological fluids under the restriction p ( z ) ≥ 3 n + 2 n + 2 .
Cholmin Sin
semanticscholar   +1 more source

Higher order integral solutions

1992
In §3.2 a detailed discussion of the inverse Born solution was presented for the reduced wave equation (2.5.5) which we again quote for convenience: $$ \frac{{{d^2}\psi }}{{d{x^2}}} + {k^2}\left[ {{\varepsilon _1}{{\cos }^2}\theta + \Delta \varepsilon (x)} \right]\psi = 0$$
K. I. Hopcraft, P. R. Smith
openaire   +1 more source

Higher Integrity Health Care

Circulation: Cardiovascular Quality and Outcomes, 2014
Two recent books1,2 have added to the body of work3–6 describing how the pharmaceutical industry has influenced medical research in its favor. By selective reporting, targeted educational efforts, and incentivizing prescriber behavior, the industry also has a profound impact on the way medicine is practiced.
Elwyn, G., Fisher, E.
openaire   +3 more sources

Integration in higher dimensions

1977
Let P be a rectangular parallelopiped in ℝk, with edges along the Cartesian coordinate axes. We call such a figure a Cartesian rectangle. The figure shows a Cartesian rectangle in ℝ2. Let the edges of P have lengths dx1,dx2,...,dxk. then its k-dimensional volume, denoted Vol(P), is be definition $$ {\rm{Vol(P) = d}}{{\rm{x}}_{\rm{1}}}{\rm{ d}}{{\rm{
openaire   +1 more source

Industry and Higher Education Integration

Industry and Higher Education, 2014
The relationship between professional bodies and higher education (HE) institutes was studied, with particular attention to the roles of each in producing future generations of fully qualified, competent practitioners. The authors examined new and evolving challenges facing consulting quantity surveyors (CQSs) and discuss the complex interactions ...
De-Graft Owusu-Manu   +3 more
openaire   +1 more source

Integration in Higher Dimensions

2015
Integration of functions in higher dimensions is much more difficult than it is in one dimension. The basic reason is that in order to integrate a function, one has to know how to measure the volume of sets. In one dimension, most sets can be decomposed into intervals (cf. Exercise ), and we took the length of an interval to be its volume.
openaire   +1 more source

Higher Integrability for Minimizers of the Mumford–Shah Functional

, 2013
We prove higher integrability for the gradient of local minimizers of the Mumford–Shah energy functional, providing a positive answer to a conjecture of De Giorgi (Free discontinuity problems in calculus of variations.
Guido De Philippis, A. Figalli
semanticscholar   +1 more source

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