Closed geodesics with Lipschitz obstacle

Marco Degiovanni; Laura Morbini

doi:10.1006/jmaa.1999.6342

Closed geodesics with Lipschitz obstacle

Marco Degiovanni^*, Laura Morbini

^*Autore corrispondente per questo lavoro

University of Brescia

Risultato della ricerca: Contributo in rivista › Articolo

Abstract

Geodesics on a general subset M of Rn are considered. When M is the closure of an open subset with Lipschitz boundary and suitable topological conditions are fulfilled, the existence of a non-constant closed geodesic is proved.

Lingua originale	Inglese
pagine (da-a)	767-789
Numero di pagine	23
Rivista	Journal of Mathematical Analysis and Applications
Volume	233
Numero di pubblicazione	2
DOI	https://doi.org/10.1006/jmaa.1999.6342
Stato di pubblicazione	Pubblicato - 1999

All Science Journal Classification (ASJC) codes

Analisi
Matematica Applicata

Keywords

Closed geodesics
Nonsmooth critical point theory
Nonsmooth sets

Accesso al documento

10.1006/jmaa.1999.6342

Altri file e collegamenti

Cita questo

@article{0679bac0f267466aa805995cb16a50ae,

title = "Closed geodesics with Lipschitz obstacle",

abstract = "Geodesics on a general subset M of Rn are considered. When M is the closure of an open subset with Lipschitz boundary and suitable topological conditions are fulfilled, the existence of a non-constant closed geodesic is proved.",

keywords = "Closed geodesics, Nonsmooth critical point theory, Nonsmooth sets, Closed geodesics, Nonsmooth critical point theory, Nonsmooth sets",

author = "Marco Degiovanni and Laura Morbini",

year = "1999",

doi = "10.1006/jmaa.1999.6342",

language = "English",

volume = "233",

pages = "767--789",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Closed geodesics with Lipschitz obstacle

AU - Degiovanni, Marco

AU - Morbini, Laura

PY - 1999

Y1 - 1999

N2 - Geodesics on a general subset M of Rn are considered. When M is the closure of an open subset with Lipschitz boundary and suitable topological conditions are fulfilled, the existence of a non-constant closed geodesic is proved.

AB - Geodesics on a general subset M of Rn are considered. When M is the closure of an open subset with Lipschitz boundary and suitable topological conditions are fulfilled, the existence of a non-constant closed geodesic is proved.

KW - Closed geodesics

KW - Nonsmooth critical point theory

KW - Nonsmooth sets

KW - Closed geodesics

KW - Nonsmooth critical point theory

KW - Nonsmooth sets

UR - https://publicatt.unicatt.it/handle/10807/312929

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=0000011272&origin=inward

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=0000011272&origin=inward

U2 - 10.1006/jmaa.1999.6342

DO - 10.1006/jmaa.1999.6342

M3 - Article

SN - 0022-247X

VL - 233

SP - 767

EP - 789

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Closed geodesics with Lipschitz obstacle

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo