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Volumn 256, Issue 8, 2009, Pages 2440-2472

A martingale approach to minimal surfaces

Author keywords

Brownian motion; Coupling; Halfspace theorem; Liouville theorem; Maximum principle at infinity; Minimal surface

Indexed keywords


EID: 61949486935     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1016/j.jfa.2008.06.033     Document Type: Article
Times cited : (4)

References (16)
  • 1
    • 0035292834 scopus 로고    scopus 로고
    • Half-space theorems for minimal surfaces with bounded curvature
    • Bessa G.P., Jorge L.P., and Oliveira-Filho G. Half-space theorems for minimal surfaces with bounded curvature. J. Differential Geom. 57 3 (2001) 493-508
    • (2001) J. Differential Geom. , vol.57 , Issue.3 , pp. 493-508
    • Bessa, G.P.1    Jorge, L.P.2    Oliveira-Filho, G.3
  • 2
    • 22544443177 scopus 로고    scopus 로고
    • The topology, geometry and conformal structure of properly embedded minimal surfaces
    • Collin P., Kusner R., Meeks III W.H., and Rosenberg H. The topology, geometry and conformal structure of properly embedded minimal surfaces. J. Differential Geom. 67 2 (2004) 377-393
    • (2004) J. Differential Geom. , vol.67 , Issue.2 , pp. 377-393
    • Collin, P.1    Kusner, R.2    Meeks III, W.H.3    Rosenberg, H.4
  • 3
    • 84968500878 scopus 로고
    • p-integrability of Green's functions and fundamental solutions for elliptic and parabolic equations
    • p-integrability of Green's functions and fundamental solutions for elliptic and parabolic equations. Duke Math. J. 51 4 (1984) 997-1016
    • (1984) Duke Math. J. , vol.51 , Issue.4 , pp. 997-1016
    • Fabes, E.B.1    Stroock, D.W.2
  • 4
    • 0000936684 scopus 로고
    • The strong halfspace theorem for minimal surfaces
    • Hoffman D., and Meeks III W.H. The strong halfspace theorem for minimal surfaces. Invent. Math. 101 2 (1990) 373-377
    • (1990) Invent. Math. , vol.101 , Issue.2 , pp. 373-377
    • Hoffman, D.1    Meeks III, W.H.2
  • 6
    • 0000978159 scopus 로고
    • Gittins indices in the dynamic allocation problem for diffusion processes
    • Karatzas I. Gittins indices in the dynamic allocation problem for diffusion processes. Ann. Probab. 12 1 (1984) 173-192
    • (1984) Ann. Probab. , vol.12 , Issue.1 , pp. 173-192
    • Karatzas, I.1
  • 7
    • 84977587176 scopus 로고    scopus 로고
    • Minimal surfaces in flat three-dimensional spaces
    • The Global Theory of Minimal Surfaces in Flat Spaces. Martina Franca, 1999, Springer, Berlin
    • Meeks III W.H. Minimal surfaces in flat three-dimensional spaces. The Global Theory of Minimal Surfaces in Flat Spaces. Martina Franca, 1999. Lecture Notes in Math. vol. 1775 (2002), Springer, Berlin 1-14
    • (2002) Lecture Notes in Math. , vol.1775 , pp. 1-14
    • Meeks III, W.H.1
  • 9
    • 33845492855 scopus 로고    scopus 로고
    • Liouville-type properties for embedded minimal surfaces
    • Meeks III W.H., Pérez J., and Ros A. Liouville-type properties for embedded minimal surfaces. Comm. Anal. Geom. 14 4 (2006) 703-723
    • (2006) Comm. Anal. Geom. , vol.14 , Issue.4 , pp. 703-723
    • Meeks III, W.H.1    Pérez, J.2    Ros, A.3
  • 10
    • 0030509351 scopus 로고    scopus 로고
    • Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces
    • Nadirashvili N. Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces. Invent. Math. 126 3 (1996) 457-465
    • (1996) Invent. Math. , vol.126 , Issue.3 , pp. 457-465
    • Nadirashvili, N.1
  • 12
    • 0035255903 scopus 로고    scopus 로고
    • Intersection of minimal surfaces of bounded curvature
    • Rosenberg H. Intersection of minimal surfaces of bounded curvature. Bull. Sci. Math. 125 2 (2001) 161-168
    • (2001) Bull. Sci. Math. , vol.125 , Issue.2 , pp. 161-168
    • Rosenberg, H.1
  • 13
    • 0001731162 scopus 로고
    • Estimates for stable minimal surfaces in three-dimensional manifolds
    • Seminar on Minimal Submanifolds, Princeton Univ. Press, Princeton, NJ
    • Schoen R. Estimates for stable minimal surfaces in three-dimensional manifolds. Seminar on Minimal Submanifolds. Ann. of Math. Stud. vol. 103 (1983), Princeton Univ. Press, Princeton, NJ 111-126
    • (1983) Ann. of Math. Stud. , vol.103 , pp. 111-126
    • Schoen, R.1
  • 14
    • 0013198418 scopus 로고    scopus 로고
    • An Introduction to the Analysis of Paths on a Riemannian Manifold
    • Amer. Math. Soc., Providence, RI
    • Stroock D.W. An Introduction to the Analysis of Paths on a Riemannian Manifold. Math. Surveys Monogr. vol. 74 (2000), Amer. Math. Soc., Providence, RI
    • (2000) Math. Surveys Monogr. , vol.74
    • Stroock, D.W.1
  • 15
    • 62049084141 scopus 로고    scopus 로고
    • Multidimensional Diffusion Processes
    • reprint of the 1997 edition, Springer-Verlag, Berlin
    • Stroock D.W., and Srinivasa Varadhan S.R. Multidimensional Diffusion Processes. reprint of the 1997 edition. Classics Math. (2006), Springer-Verlag, Berlin
    • (2006) Classics Math.
    • Stroock, D.W.1    Srinivasa Varadhan, S.R.2
  • 16
    • 0000589660 scopus 로고
    • Convex hulls of complete minimal surfaces
    • Xavier F. Convex hulls of complete minimal surfaces. Math. Ann. 269 2 (1984) 179-182
    • (1984) Math. Ann. , vol.269 , Issue.2 , pp. 179-182
    • Xavier, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.