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Mean Convex Smoothing of Mean Convex Cones

open access: yesGeometric and Functional Analysis, 2022
27 pages; Comments are ...
Zhihan Wang
openaire   +4 more sources

Explicit Formula of Koszul–Vinberg Characteristic Functions for a Wide Class of Regular Convex Cones

open access: yesEntropy, 2016
The Koszul–Vinberg characteristic function plays a fundamental role in the theory of convex cones. We give an explicit description of the function and related integral formulas for a new class of convex cones, including homogeneous cones and cones ...
Hideyuki Ishi
doaj   +2 more sources

Inf–sup conditions on convex cones and applications to limit load analysis

open access: yesMathematics and Mechanics of Solids, 2019
The paper is devoted to a family of specific inf–sup conditions generated by tensor-valued functions on convex cones. First, we discuss the validity of such conditions and estimate the value of the respective constant.
Stanislav Sysala   +2 more
exaly   +2 more sources

An exterior overdetermined problem for Finsler N-Laplacian in convex cones [PDF]

open access: yesCalculus of Variations and Partial Differential Equations, 2021
We consider a partially overdetermined problem for anisotropic N-Laplace equations in a convex cone Σ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
Giulio Ciraolo, Xiaoliang Li
semanticscholar   +1 more source

A note on product topologies in locally convex cones [PDF]

open access: yesJournal of Mahani Mathematical Research, 2022
We consider the locally convex product cone topologies and prove that the product topologyof weakly cone-complete locally convex cones is weakly cone-complete.
Mohammad Reza Motallebi
doaj   +1 more source

Bornological Completion of Locally Convex Cones [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
In this paper, firstly, we obtain some new results about bornological convergence in locally convex cones (which was studied in [1]) and then we introduce the concept of bornological completion for locally convex cones. Also, we prove that the completion
Davood Ayaseh, Asghar Ranjbari
doaj   +1 more source

Martin boundary of random walks in convex cones [PDF]

open access: yesAnnales Henri Lebesgue, 2020
We determine the asymptotic behavior of the Green function for zero-drift random walks confined to multidimensional convex cones. As a consequence, we prove that there is a unique positive discrete harmonic function for these processes (up to a ...
Jetlir Duraj   +3 more
semanticscholar   +1 more source

Convex cones in mapping spaces between matrix algebras [PDF]

open access: yesLinear Algebra and its Applications, 2020
We introduce the notion of one-sided mapping cones of positive linear maps between matrix algebras. These are convex cones of maps that are invariant under compositions by completely positive maps from either the left or right side.
Mark W. Girard   +2 more
semanticscholar   +1 more source

A weighted relative isoperimetric inequality in convex cones [PDF]

open access: yesMethods and Applications of Analysis, 2020
A weighted relative isoperimetric inequality in convex cones is obtained via the Monge-Ampere equation.
E. Indrei
semanticscholar   +1 more source

Higher order symmetric duality for multiobjective fractional programming problems over cones [PDF]

open access: yesYugoslav Journal of Operations Research, 2022
This article studies a pair of higher order nondifferentiable symmetric fractional programming problem over cones. First, higher order cone convex function is introduced.
Kaur Arshpreet, Sharma Mahesh Kumar
doaj   +1 more source

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