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We prove an Omori-Yau maximum principle on Alexandrov spaces which do not have Perelman singular points and satisfy the infinitesimal Bishop-Gromov condition.
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참고문헌 (20)
참고문헌 신청
L. Ambrosio / 2000 / Functions of Bounded Variation and Free Discontinuity Problems / Oxford University Press
L. Ambrosio / 2000 / Rectifiable sets in metric and Banach spaces / Math. Ann 318(3):527~555
D. Burago / 2001 / A Course in Metric Geometry, Graduate Studies in Mathematics / American Mathematical Society 33
Y. Burago / 1992 / A. D. Aleksandrov spaces with curvature bounded below / Russian Math. Surveys 47(2):1~58
K. Kuwae / 2001 / Sobolev sapces, Laplacian, and heat kernel on Alexandrov spaces / Math. Z 238(2):269~316
L. Ambrosio / 2000 / Rectifiable sets in metric and Banach spaces / Math. Ann 318(3):527~555
D. Burago / 2001 / A Course in Metric Geometry, Graduate Studies in Mathematics / American Mathematical Society 33
Y. Burago / 1992 / A. D. Aleksandrov spaces with curvature bounded below / Russian Math. Surveys 47(2):1~58
K. Kuwae / 2001 / Sobolev sapces, Laplacian, and heat kernel on Alexandrov spaces / Math. Z 238(2):269~316
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