Open Access
Issue |
ESAIM: COCV
Volume 29, 2023
|
|
---|---|---|
Article Number | 86 | |
Number of page(s) | 26 | |
DOI | https://doi.org/10.1051/cocv/2023080 | |
Published online | 08 December 2023 |
- O. Alvarez, J.-M. Lasry and P.-L. Lions, Convex viscosity solutions and state constraints. J. Math. Pures Appl. 76 (1997) 265–288. [CrossRef] [MathSciNet] [Google Scholar]
- J.E. Avron, J.E. Taylor and R.K.P. Zia, Equilibrium shapes of crystals in a gravitational field: crystals on a table. J. Statist. Phys. 33 (1983) 493–522. [CrossRef] [MathSciNet] [Google Scholar]
- E. Baer, Minimizers of anisotropic surface tensions under gravity: higher dimensions via symmetrization. Arch. Ration. Mech. Anal. 215 (2015) 531–578. [CrossRef] [MathSciNet] [Google Scholar]
- B. Barrios, A. Figalli and E. Valdinoci, Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces. Ann. Sc. Norm. Super. Pisa Cl. Sci. 13 (2014) 609–639. [MathSciNet] [Google Scholar]
- L. Caffarelli, J.-M. Roquejoffre and O. Savin, Nonlocal minimal surfaces. Commun. Pure Appl. Math. 63 (2010) 1111–1144. [CrossRef] [Google Scholar]
- M.C. Caputo and N. Guillen, Regularity for non-local almost minimal boundaries and applications. arXiv (2010). [Google Scholar]
- V. Caselles and A. Chambolle, Anisotropic curvature-driven flow of convex sets. Nonlinear Anal. 65 (2006) 1547–1577. [CrossRef] [MathSciNet] [Google Scholar]
- A. Cesaroni and M. Novaga, Volume constrained minimizers of the fractional perimeter with a potential energy. Discrete Contin. Dyn. Syst. Ser. S 10 (2017) 715–727. [MathSciNet] [Google Scholar]
- G. De Philippis and M. Goldman, A two-point function approach to connectedness of drops in convex potentials. Commun. Anal. Geom. 30 (2022) 815–841. [CrossRef] [Google Scholar]
- A. Di Castro, M. Novaga, B. Ruffini and E. Valdinoci, Nonlocal quantitative isoperimetric inequalities. Calc. Var. Partial Diff. Equ. 54 (2464) 2421–2464. [Google Scholar]
- A. Figalli, N. Fusco, F. Maggi, V. Millot and M. Morini, Isoperimetry and stability properties of balls with respect to nonlocal energies. Commun. Math. Phys. 336 (2015) 441–507. [CrossRef] [Google Scholar]
- A. Figalli and F. Maggi, On the shape of liquid drops and crystals in the small mass regime. Arch. Ration. Mech. Anal. 201 (2011) 143–207. [Google Scholar]
- R. Finn, The sessile liquid drop. I. Symmetric case. Pacific J. Math. 88 (1980) 541–587. [CrossRef] [MathSciNet] [Google Scholar]
- R. Finn, Equilibrium capillary surfaces, Vol. 284 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer-Verlag, New York (1986). [Google Scholar]
- E. Gonzalez, U. Massari and I. Tamanini, Existence and regularity for the problem of a pendent liquid drop. Pacific J. Math. 88 (1980) 399–420. [CrossRef] [MathSciNet] [Google Scholar]
- E. Indrei, On the equilibrium shape of a crystal. arXiv (2020). [Google Scholar]
- E. Indrei and A. Karakhanyan, Minimizing the free energy. arXiv (2023). [Google Scholar]
- N. Korevaar, Capillary surface convexity above convex domains. Indiana Univ. Math. J. 32 (1983) 73–81. [CrossRef] [MathSciNet] [Google Scholar]
- A. Lunardi, Analytic semigroups and optimal regularity in parabolic problems. Modern Birkhäuser Classics. Birkhäuser/Springer Basel AG, Basel (1995). [Google Scholar]
- F. Maggi, Sets of finite perimeter and geometric variational problems, Vol. 135 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge (2012). [Google Scholar]
- R.J. McCann, Equilibrium shapes for planar crystals in an external field. Commun. Math. Phys. 195 (1998) 699–723. [CrossRef] [Google Scholar]
- O. Savin and E. Valdinoci, Regularity of nonlocal minimal cones in dimension 2. Calc. Var. Part. Diff. Equ. 48 (2013) 33–39. [CrossRef] [Google Scholar]
- S.-T. Yau, Problem section, in Seminar on Differential Geometry, Vol. 102 of Ann. of Math. Stud. Princeton University Press, Princeton, N.J. (1982) 669–706. [Google Scholar]
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