메뉴 건너뛰기




Volumn 225, Issue 1, 2006, Pages 103-118

Characterization of cheeger sets for convex subsets of the plane

Author keywords

Cheeger constant; Cheeger set; Connection like coycle; Constructive algorithm; Convexity

Indexed keywords


EID: 34250215696     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2006.225.103     Document Type: Article
Times cited : (122)

References (13)
  • 2
    • 15544363597 scopus 로고    scopus 로고
    • Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow
    • MR 2006b: 35154 Zbl 1084.49003
    • F. Alter, V. Caselles, and A. Chambolle, "Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow", Interfaces Free Bound. 7:1 (2005), 29-53. MR 2006b:35154 Zbl 1084.49003.
    • (2005) Interfaces Free Bound , vol.7 , Issue.1 , pp. 29-53
    • Alter, F.1    Caselles, V.2    Chambolle, A.3
  • 3
    • 0003467135 scopus 로고
    • Isoperimetric inequalities and applications, Monographs and Studies in Mathematics
    • Pitman, Boston, MR 81e: 35095 Zbl 0436 35063
    • C. Bandle, Isoperimetric inequalities and applications, Monographs and Studies in Mathematics 7, Pitman, Boston, 1980. MR 81e:35095 Zbl 0436.35063.
    • (1980) , vol.7
    • Bandle, C.1
  • 5
    • 84968505743 scopus 로고
    • The first eigenvalue of a scalene triangle
    • MR 88f:58147 Zbl 0675.58040
    • R. Brooks and P. Waksman, "The first eigenvalue of a scalene triangle", Proc. Amer. Math. Soc. 100:1 (1987), 175-182. MR 88f:58147 Zbl 0675.58040.
    • (1987) Proc. Amer. Math. Soc. , vol.100 , Issue.1 , pp. 175-182
    • Brooks, R.1    Waksman, P.2
  • 6
    • 20344362744 scopus 로고
    • A lower bound for the smallest eigenvalue of the Laplacian
    • (Princeton, 1969), edited by R. C. Gunning, Princeton Univ. Press, Princeton, MR 53 #6645 Zbl 021244903
    • J. Cheeger, "A lower bound for the smallest eigenvalue of the Laplacian", pp. 195- 199 in Problems in analysis: a symposium in honor of Salomon Bochner (Princeton, 1969), edited by R. C. Gunning, Princeton Univ. Press, Princeton, 1970. MR 53 #6645 Zbl 0212.44903.
    • (1970) Problems in analysis: a symposium in honor of Salomon Bochner , pp. 195-199
    • Cheeger, J.1
  • 7
    • 70349650378 scopus 로고    scopus 로고
    • A numerical approach for computing the first eigenvalue of the 1-Laplacian on the square and other particular sets
    • F. Demengel, F. De Vuyst, and M. Motron, "A numerical approach for com- puting the first eigenvalue of the 1-Laplacian on the square and other particular sets", preprint, 2002.
    • (2002) preprint
    • Demengel, F.1    De Vuyst, F.2    Motron, M.3
  • 8
    • 0036653922 scopus 로고    scopus 로고
    • Some unusual comparison properties of capillary surfaces
    • MR 2003g:53010 Zbl 1059.53010
    • R. Finn and A. A. Kosmodem'yanskii, Jr., "Some unusual comparison properties of capillary surfaces", Pacific J. Math. 205:1 (2002), 119-137. MR 2003g:53010 Zbl 1059.53010.
    • (2002) Pacific J. Math. , vol.205 , Issue.1 , pp. 119-137
    • Finn, R.1    Kosmodem'yanskii A.A., Jr.2
  • 9
    • 0002861534 scopus 로고
    • On a family of torsional creep problems
    • MR 91h:35126 Zbl 0701.35015
    • B. Kawohl, "On a family of torsional creep problems", J. Reine Angew. Math. 410 (1990), 1-22. MR 91h:35126 Zbl 0701.35015.
    • (1990) J. Reine Angew. Math. , vol.410 , pp. 1-22
    • Kawohl, B.1
  • 10
    • 85068234417 scopus 로고    scopus 로고
    • Isoperimetric estimates for the first eigenvalue of the p-Laplace operator and the Cheeger constant
    • MR 2005g: 35053
    • B. Kawohl and V. Fridman, "Isoperimetric estimates for the first eigenvalue of the p-Laplace operator and the Cheeger constant", Comment. Math. Univ. Carolin. 44:4 (2003), 659-667. MR 2005g:35053.
    • (2003) Comment. Math. Univ. Carolin. , vol.44 , Issue.4 , pp. 659-667
    • Kawohl, B.1    Fridman, V.2
  • 11
    • 33646728935 scopus 로고    scopus 로고
    • Minimizing within convex bodies using a convex hull method
    • MR 2197985
    • T. Lachand-Robert and É. Oudet, "Minimizing within convex bodies using a convex hull method", SIAM J. Optim. 16:2 (2005), 368-379. MR 2197985.
    • (2005) SIAM J. Optim. , vol.16 , Issue.2 , pp. 368-379
    • Lachand-Robert, T.1    Oudet, É.2
  • 12
    • 0242595954 scopus 로고    scopus 로고
    • Isoperimetric regions in rotationally symmetric convex bodies
    • MR 2004h: 58018 Zbl 02247558
    • C. Rosales, "Isoperimetric regions in rotationally symmetric convex bodies", Indiana Univ. Math. J. 52:5 (2003), 1201-1214. MR 2004h:58018 Zbl 02247558.
    • (2003) Indiana Univ Math J , vol.52 , Issue.5 , pp. 1201-1214
    • Rosales, C.1
  • 13
    • 0242672014 scopus 로고    scopus 로고
    • Area minimizing sets subject to a volume constraint in a convex set
    • MR 99k:49089 Zbl 094049025
    • E. Stredulinsky and W. P. Ziemer, "Area minimizing sets subject to a volume constraint in a convex set", J. Geom. Anal. 7:4 (1997), 653-677. MR 99k:49089 Zbl 0940.49025.
    • (1997) J. Geom. Anal. , vol.7 , Issue.4 , pp. 653-677
    • Stredulinsky, E.1    Ziemer, W.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.