Variational approach to the regularity of the free boundaries

Información del proyecto

VAREG

Identificador del acuerdo de subvención: 853404

DOI 10.3030/853404

Fecha de la firma de la CE 27 Febrero 2020

Fecha de inicio 1 Junio 2020

Fecha de finalización 30 Noviembre 2025

Financiado con arreglo a

• EXCELLENT SCIENCE - European Research Council (ERC)

Coste total € 1 330 325,00

Aportación de la UE € 1 330 325,00

Coordinado por

UNIVERSITA DI PISA
Italy

Publicaciones

Peer reviewed articles (12)

Regularity of shape optimizers for some spectral fractional problems

Autores: Giorgio Tortone
Publicado en: Journal of Functional Analysis, Edición 1, 2021, ISSN 0022-1236
Editor: Academic Press
DOI: 10.1016/j.jfa.2021.109271

Regularity of the optimal sets for the second Dirichlet eigenvalue

Autores: Mazzoleni, Dario; Trey, Baptiste; Velichkov, Bozhidar
Publicado en: Annales de l'Institut Henri Poincaré C, Edición 39, 2022, Página(s) 529-573, ISSN 0294-1449
Editor: Elsevier BV
DOI: 10.48550/arxiv.2010.00441

Epsilon-regularity for the solutions of a free boundary system

Autores: Francesco Paolo Maiale, Giorgio Tortone, Bozhidar Velichkov
Publicado en: Revista Matemática Iberoamericana, 2023, ISSN 0213-2230
Editor: Universidad Autonoma de Madrid
DOI: 10.4171/rmi/1430

On the logarithmic epiperimetric inequality for the obstacle problem

Autores: Luca Spolaor; Bozhidar Velichkov
Publicado en: Mathematics in Engineering, 2021, ISSN 2640-3501
Editor: AIMS Press
DOI: 10.3934/mine.2021004

A two-phase problem with Robin conditions on the free boundary

Autores: Serena Guarino Lo Bianco; Domenico Angelo La Manna; Bozhidar Velichkov
Publicado en: Journal de l'Ecole polytechnique - Mathematiques, 2021, ISSN 2429-7100
Editor: Ecole polytechnique
DOI: 10.5802/jep.139

The regularity problem in domains with lower dimensional boundaries

Autores: Zanbing Dai; Joseph Feneuil; Svitlana Mayboroda
Publicado en: Journal of Functional Analysis, Edición 284, 2023, ISSN 0022-1236
Editor: Academic Press
DOI: 10.1016/j.jfa.2023.109903

Regularity of the optimal sets for the second Dirichlet eigenvalue

Autores: Mazzoleni, Dario; Trey, Baptiste; Velichkov, Bozhidar
Publicado en: Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 2022, ISSN 0294-1449
Editor: Elsevier BV
DOI: 10.4171/aihpc/14

Cut locus on compact manifolds and uniform semiconcavity estimates for a variational inequality

Autores: François Générau; Édouard Oudet; Bozhidar Velichkov
Publicado en: Archive for Rational Mechanics and Analysis volume, Edición 246, 2022, Página(s) 561-602, ISSN 0003-9527
Editor: Springer Verlag
DOI: 10.1007/s00205-022-01821-0

Regularity of the free boundary for the two-phase Bernoulli problem

Autores: Guido De Philippis, Luca Spolaor, Bozhidar Velichkov
Publicado en: Inventiones Mathematicae, 2021, ISSN 1432-1297
Editor: Springer
DOI: 10.1007/s00222-021-01031-7

Shape optimization problems in control form

Autores: Giuseppe Buttazzo, Francesco Paolo Maiale, Bozhidar Velichkov
Publicado en: RENDICONTI LINCEI - MATEMATICA E APPLICAZIONI, 2021, ISSN 1120-6330
Editor: Accademia Nazionale dei Lincei
DOI: 10.4171/rlm/942

The boundary Harnack principle on optimal domains

Autores: Francesco Paolo Maiale, Giorgio Tortone, Bozhidar Velichkov
Publicado en: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2022, ISSN 0391-173X
Editor: Stampacchia Guido
DOI: 10.2422/2036-2145.202112_003

Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem

Autores: Maria Colombo; Luca Spolaor; Bozhidar Velichkov
Publicado en: Interfaces and Free Boundaries, Edición 2, 2021, ISSN 1463-9963
Editor: European Mathematical Society Publishing House
DOI: 10.4171/ifb/452