Uniqueness of the blowup at isolated singularities for the Alt–Caffarelli functional-Reference-Cited by-同舟云学术

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Uniqueness of the blowup at isolated singularities for the Alt–Caffarelli functional

Published:2020-06-01 Issue:8 Volume:169 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Engelstein Max,Spolaor Luca,Velichkov Bozhidar

Publisher

Duke University Press

Subject

General Mathematics

Reference33 articles.

1. [1] D. Adams and L. Simon, Rates of asymptotic convergence near isolated singularities of geometric extrema, Indiana Univ. Math. J. 37 (1988), no. 2, 225–254.

2. [2] H. W. Alt and L. A. Caffarelli, Existence and regularity for a minimum problem with free boundary, J. Reine Angew. Math. 325 (1981), 105–144.

3. [3] L. Brasco, G. De Philippis, and B. Velichkov, Faber–Krahn inequalities in sharp quantitative form, Duke Math. J. 164 (2015), no. 9, 1777–1831.

4. [4] L. A. Caffarelli, D. Jerison, and C. E. Kenig, “Global energy minimizers for free boundary problems and full regularity in three dimensions” in Noncompact Problems at the Intersection of Geometry, Analysis, and Topology, Contemp. Math. 350, Amer. Math. Soc., Providence, 2004, 83–97.

5. [5] M. Colombo, L. Spolaor, and B. Velichkov, A logarithmic epiperimetric inequality for the obstacle problem, Geom. Funct. Anal. 28 (2018), no. 4, 1029–1061.

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