Closed geodesics with Lipschitz obstacle
type: Item
instance of: scholarly article
title: Closed geodesics with Lipschitz obstacle
zbMATH Open document ID: 0974.53033
author: Laura Morbini
author: Marco Degiovanni
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-10-06T00:00:00Z
review text: It is considered a different kind of nonsmooth subset of \(\mathbb{R}^n\) with Lipschitz boundary. A new definition for geodesics on a general subset of \(\mathbb{R}^n\) is proposed and their basic property is showed. This definition is related to the nonsmooth critical point theory, presented below. The main result of this paper is a proof of the existence of at least one nonconstant closed geodesic in certain situations.
reviewed by: S. Noaghi
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 58E10
zbMATH DE Number: 1295278
zbMATH Keywords: Lipschitz obstacle
zbMATH Keywords: nonsmooth subset
zbMATH Keywords: nonsmooth critical point theory
zbMATH Keywords: closed geodesic
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6342
OpenAlex ID: W2077101066
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DOI: 10.1006/JMAA.1999.6342
description: scientific article; zbMATH DE number 1295278