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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 16
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 2, April 2009
  4. The Singularities of the Distance Function Near Convex Boundary Points
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 6, December 2009
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 5, October 2009
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 4, August 2009
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 3, July 2009
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 2, April 2009
Differential Games of Mixed Type with Control and Stopping Times
Multiple Existence of Nonradial Positive Solutions for a Coupled Nonlinear Schrödinger System
C 0,γ-Regularity for Vector-Valued Minimizers of Quasilinear Functionals
The Problem of the Centre for Cubic Systems with Two Parallel Invariant Straight Lines and One Invariant Conic
Regular Problems for Semilinear Hyperbolic Type Equations
Multiplicity of Positive Solutions for a Class of Inhomogeneous Neumann Problems Involving the p(x)-Laplacian
The Singularities of the Distance Function Near Convex Boundary Points
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 1, February 2009
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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The Singularities of the Distance Function Near Convex Boundary Points

Content Provider SpringerLink
Author Alba, Paolo
Copyright Year 2009
Abstract In an open bounded set Ω, we consider the distance function from ∂Ω associated to a Riemannian metric with C 1,1 coefficients. Assuming that Ω is convex near a boundary point x 0, we show that the distance function is differentiable at x 0 if and only if there exists the tangent space to ∂Ω at x 0. Furthermore, if the distance function is not differentiable at x 0 then there exists a Lipschitz continuous curve, with initial point at x 0, such that the distance function is not differentiable along such a curve.
Ending Page 281
Page Count 9
Starting Page 273
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 2
Volume Number 16
Language English
Publisher Birkhäuser-Verlag
Publisher Date 2009-02-24
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Convexity, generalizations Analysis singularities Eikonal equation Dirichlet problem viscosity solutions Boundary value problems for nonlinear first-order equations Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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