A Free Boundary Problem for the Localization of Eigenfunctions

Guy David, Marcel Filoche, David Jerison, Svitlana Mayboroda

Type: Article

Publication Date: 2018-11-06

Citations: 5

DOI: https://doi.org/10.24033/ast.1035

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arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
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+	Free boundary regularity for almost-minimizers	2019	Guy David Max Engelstein Tatiana Toro
+	Efficiency and localisation for the first Dirichlet eigenfunction	2021	M. van den Berg Francesco Della Pietra Giuseppina di Blasio Nunzia Gavitone
+ PDF Chat	Two-and multi-phase quadrature surfaces	2017	Avetik Arakelyan Henrik Shahgholian Jyotshana V. Prajapat
+	An optimal partition problem for the localization of eigenfunctions	2022	Guy David Hassan Pourmohammad
+	Efficiency and localisation for the first Dirichlet eigenfunction	2019	M. van den Berg Francesco Della Pietra Giuseppina di Blasio Nunzia Gavitone

Works Cited by This (10)

Action	Title	Year	Authors
+	Existence and regularity for a minimum problem with free boundary.	1981	Hans Wilhelm Alt Luis Caffarelli
+	Some New Monotonicity Theorems with Applications to Free Boundary Problems	2002	Luis Caffarelli David Jerison Carlos E. Kenig
+	Geometric Measure Theory	1988	Herbert Fédérer
+ PDF Chat	Morceaux de Graphes Lipschitziens et Intégrales Singulières sur une Surface	1988	Guy David
+	A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz	1989	Luis Caffarelli
+	Eigenvalue inequalities for the dirichlet problem on spheres and the growth of subharmonic functions	1976	Shmuel Friedland W. K. Hayman
+ PDF Chat	A criterion for the boundedness of singular integrals on hypersurfaces	1989	Stephen Semmes
+ PDF Chat	A Harnack Inequality Approach to the Regularity of Free Boundaries. Part I: Lipschitz Free Boundaries are $C^{1, \alpha}$	1987	Luis Caffarelli
+ PDF Chat	Variational problems with two phases and their free boundaries	1984	Hans Wilhelm Alt Luis Caffarelli Avner Friedman
+ PDF Chat	On the regularity of edges in image segmentation	1996	Alexis Bonnet