Results 11 to 20 of about 15,411,558 (330)

Reverse dynamic inequalities and higher integrability theorems

Journal of Mathematical Analysis and Applications, 2019
In this paper, we prove some reverse dynamic inequalities and apply them to prove some new higher integrability theorems for nonincreasing functions on time scales.
S. Saker, I. Kubiaczyk
semanticscholar   +3 more sources

Higher integrability and stability of (p,q)-quasiminimizers [PDF]

Journal of Differential Equations, 2022
Using purely variational methods, we prove local and global higher integrability results for upper gradients of quasiminimizers of a $(p,q)$-Dirichlet integral with fixed boundary data, assuming it belongs to a slightly better Newtonian space.
A. Nastasi, Cintia Pacchiano Camacho
semanticscholar   +1 more source

Higher Haantjes Brackets and Integrability [PDF]

Communications in Mathematical Physics, 2021
AbstractWe propose a new, infinite class of brackets generalizing the Frölicher–Nijenhuis bracket. This class can be reduced to a family of generalized Nijenhuis torsions recently introduced. In particular, the Haantjes bracket, the first example of our construction, is relevant in the characterization of Haantjes moduli of operators.
Giorgio Tondo, Piergiulio Tempesta
openaire   +5 more sources

Higher integrability of the gradient for the thermal insulation problem [PDF]

Interfaces and free boundaries (Print), 2021
We prove the higher integrability of the gradient for local minimizers of the thermal insulation problem, an analogue of De Giorgi’s conjecture for the Mumford-Shah functional. We deduce that the singular part of the free boundary has Hausdorff dimension
Camille Labourie, Emmanouil D. Milakis
semanticscholar   +1 more source

Higher integrability and the number of singular points for the Navier–Stokes equations with a scale-invariant bound [PDF]

Proceedings of the American Mathematical Society, Series B, 2021
First, we show that if the pressure p p (associated to a weak Leray–Hopf solution v v of the Navier–Stokes equations) satisfies ‖ p ‖ L
T. Barker
semanticscholar   +1 more source

Higher integrability for variational integrals with non-standard growth [PDF]

Calculus of Variations and Partial Differential Equations, 2020
We consider autonomous integral functionals of the form F[u]:=∫Ωf(Du)dxwhereu:Ω→RN,N≥1,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
Mathias Schäffner
semanticscholar   +1 more source

Higher Integrability of the Composite Operator T D G for Differential Forms

Journal of Harbin University of Science and Technology, 2023
We firstly prove the higher integrability of the composite operator T D G by using Poincaré-Sobolev inequalities when 1< p < n. Then further consider the case of p ≥ n and obtain the higher order norm estimation of composite operators, by which the ...
ZHAO Pengfei, BI Shujuan, LIU Zhenjie
doaj   +1 more source

The Meyers Estimates for Domains Perforated along the Boundary

Mathematics, 2021
In this paper, we consider an elliptic problem in a domain perforated along the boundary. By setting a homogeneous Dirichlet condition on the boundary of the cavities and a homogeneous Neumann condition on the outer boundary of the domain, we prove ...
Gregory A. Chechkin
doaj   +1 more source

Global higher integrability for minimisers of convex functionals with (p,q)-growth [PDF]

Calculus of Variations and Partial Differential Equations, 2020
We prove global W1,q(Ω,Rm)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$
Lukas Koch
semanticscholar   +1 more source

Global continuity and higher integrability of a minimizer of an obstacle problem under generalized Orlicz growth conditions [PDF]

Manuscripta mathematica, 2019
We prove continuity up to the boundary of the minimizer of an obstacle problem and higher integrability of its gradient under generalized Orlicz growth.
Arttu Karppinen
semanticscholar   +1 more source