Recherche - Archive ouverte HAL Accéder directement au contenu

Filtrer vos résultats

30 résultats

Regularity of the free boundary for the vectorial Bernoulli problem

Dario Mazzoleni , Susanna Terracini , Bozhidar Velichkov
Analysis & PDE, 2020, 13 (3), pp.741-764. ⟨10.2140/apde.2020.13.741⟩
Article dans une revue hal-02014052v1
Image document

Faber-Krahn inequalities in sharp quantitative form

Lorenzo Brasco , Guido de Philippis , Bozhidar Velichkov
Duke Mathematical Journal, 2015, 164 (9), pp.1777-1831. ⟨10.1215/00127094-3120167⟩
Article dans une revue hal-00831975v1

Multiphase Shape Optimization Problems

Dorin Bucur , Bozhidar Velichkov
SIAM Journal on Control and Optimization, 2014, 52 (6), pp.3556-3591. ⟨10.1137/130917272⟩
Article dans une revue hal-02014010v1

Lipschitz Regularity of the Eigenfunctions on Optimal Domains

Dorin Bucur , Dario Mazzoleni , Aldo Pratelli , Bozhidar Velichkov
Archive for Rational Mechanics and Analysis, 2015, 216 (1), pp.117-151. ⟨10.1007/s00205-014-0801-6⟩
Article dans une revue hal-02014009v1
Image document

A Logarithmic Epiperimetric Inequality for the Obstacle Problem

Maria Colombo , Luca Spolaor , Bozhidar Velichkov
Geometric And Functional Analysis, 2018, 28 (4), pp.1029-1061. ⟨10.1007/s00039-018-0451-1⟩
Article dans une revue hal-01879176v1

Existence and Regularity of Minimizers for Some Spectral Functionals with Perimeter Constraint

Guido de Philippis , Bozhidar Velichkov
Applied Mathematics and Optimization, 2014, 69 (2), pp.199-231. ⟨10.1007/s00245-013-9222-4⟩
Article dans une revue hal-02014018v1

Spectral optimization problems with internal constraint

Dorin Bucur , Giuseppe Buttazzo , Bozhidar Velichkov
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2013, 30 (3), pp.477-495. ⟨10.1016/j.anihpc.2012.10.002⟩
Article dans une revue hal-00956615v1

Free boundary regularity for a multiphase shape optimization problem

Luca Spolaor , Baptiste Trey , Bozhidar Velichkov
2019
Pré-publication, Document de travail hal-02014049v1
Image document

Existence and Regularity of Optimal Shapes for Elliptic Operators with Drift

Emmanuel Russ , Baptiste Trey , Bozhidar Velichkov
Calculus of Variations and Partial Differential Equations, 2019, 58 (6), Paper no 199
Article dans une revue hal-01896841v2
Image document

A Shape Optimal Control Problem with Changing Sign Data

Giuseppe Buttazzo , Bozhidar Velichkov
SIAM Journal on Mathematical Analysis, 2018, 50 (3), pp.2608-2627. ⟨10.1137/17M1126564⟩
Article dans une revue hal-01879182v1

On the honeycomb conjecture for a class of minimal convex partitions

Dorin Bucur , Ilaria Fragalà , Bozhidar Velichkov , Gianmaria Verzini
Transactions of the American Mathematical Society, 2018, 370, pp.7149-7179. ⟨10.1090/tran/7326⟩
Article dans une revue hal-02014044v1

An Epiperimetric Inequality for the Regularity of Some Free Boundary Problems: The 2‐Dimensional Case

Luca Spolaor , Bozhidar Velichkov
Communications on Pure and Applied Mathematics, 2019, 72 (2), pp.375-421. ⟨10.1002/cpa.21785⟩
Article dans une revue hal-02013993v1
Image document

Numerical Calibration of Steiner trees

Annalisa Massaccesi , Edouard Oudet , Bozhidar Velichkov
Applied Mathematics and Optimization, 2019, 79 (1), pp.69-86. ⟨10.1007/s00245-017-9421-5⟩
Article dans une revue hal-01304644v1

A Multiphase Shape Optimization Problem for Eigenvalues: Qualitative Study and Numerical Results

Beniamin Bogosel , Bozhidar Velichkov
SIAM Journal on Numerical Analysis, 2016, 54 (1), pp.210-241. ⟨10.1137/140976406⟩
Article dans une revue hal-02014013v1
Image document

Existence and regularity results for some shape optimization problems

Bozhidar Velichkov
Optimization and Control [math.OC]. Université de Grenoble; Scuola normale superiore (Pise, Italie), 2013. English. ⟨NNT : 2013GRENM088⟩
Thèse tel-01552644v1
Image document

BV Estimates in Optimal Transportation and Applications

Guido de Philippis , Alpár Richard Mészáros , Filippo Santambrogio , Bozhidar Velichkov
Archive for Rational Mechanics and Analysis, 2016, 219 (2), pp.829-860. ⟨10.1007/s00205-015-0909-3⟩
Article dans une revue hal-01079336v2

Direct epiperimetric inequalities for the thin obstacle problem and applications

Maria Colombo , Luca Spolaor , Bozhidar Velichkov
Communications on Pure and Applied Mathematics, 2020, 73 (2), pp.384-420. ⟨10.1002/cpa.21859⟩
Article dans une revue hal-02014064v1

Worst-case shape optimization for the Dirichlet energy

José Carlos Bellido , Giuseppe Buttazzo , Bozhidar Velichkov
Nonlinear Analysis: Theory, Methods and Applications, 2017, 153, pp.117-129. ⟨10.1016/j.na.2016.05.014⟩
Article dans une revue hal-02014032v1
Image document

Serrin-type Theorems on Triangles

Ilaria Fragalà , Bozhidar Velichkov
Proceedings of the American Mathematical Society, 2019, 147, pp.1615-1626. ⟨10.1090/proc/14352⟩
Article dans une revue hal-01879175v1

Optimal Potentials for Problems with Changing Sign Data

Giuseppe Buttazzo , Faustino Maestre , Bozhidar Velichkov
Journal of Optimization Theory and Applications, 2018, 178 (3), pp.743-762. ⟨10.1007/s10957-018-1347-9⟩
Article dans une revue hal-02014035v1

Spectral Optimization Problems for Potentials and Measures

Dorin Bucur , Giuseppe Buttazzo , Bozhidar Velichkov
SIAM Journal on Mathematical Analysis, 2014, 46 (4), pp.2956-2986. ⟨10.1137/130939808⟩
Article dans une revue hal-02014037v1
Image document

Regularity of the Optimal Sets for some Spectral Functionals

Dario Mazzoleni , Susanna Terracini , Bozhidar Velichkov
Geometric And Functional Analysis, 2017, 27 (2), pp.373-426. ⟨10.1007/s00039-017-0402-2⟩
Article dans une revue hal-01879177v1

A note on the monotonicity formula of Caffarelli–Jerison–Kenig

Bozhidar Velichkov
Rendiconti Lincei. Matematica e Applicazioni, 2014, 25 (2), pp.165-189. ⟨10.4171/RLM/673⟩
Article dans une revue hal-02014012v1
Image document

Shape Optimization Problems for Metric Graphs

Giuseppe Buttazzo , Berardo Ruffini , Bozhidar Velichkov
2014
Pré-publication, Document de travail hal-00941094v1
Image document

Optimal Potentials For Schrodinger Operators

Giuseppe Buttazzo , Augusto Gerolin , Berardo Ruffini , Bozhidar Velichkov
2014
Pré-publication, Document de travail hal-00941102v1
Image document

A free boundary problem arising in PDE optimization

Giuseppe Buttazzo , Edouard Oudet , Bozhidar Velichkov
Calculus of Variations and Partial Differential Equations, 2015, 54 (4), pp.3829-3856. ⟨10.1007/s00526-015-0923-1⟩
Article dans une revue hal-02009504v1

Uniqueness of the blow-up at isolated singularities for the Alt-Caffarelli functional

Max Engelstein , Luca Spolaor , Bozhidar Velichkov
2019
Pré-publication, Document de travail hal-02014067v1
Image document

(Log-)epiperimetric Inequality and Regularity over Smooth Cones for Almost Area-Minimizing Currents

Max Engelstein , Luca Spolaor , Bozhidar Velichkov
Geometry and Topology, 2019, 23, pp.513-540. ⟨10.2140/gt.2019.23.513⟩
Article dans une revue hal-01879179v1
Image document

On the Asymptotic Behavior of the Solutions to Parabolic Variational Inequalities

Maria Colombo , Luca Spolaor , Bozhidar Velichkov
2018
Pré-publication, Document de travail hal-01879174v1
Image document

Regularity of Minimizers of Shape Optimization Problems involving Perimeter

Guido de Philippis , Jimmy Lamboley , Michel Pierre , Bozhidar Velichkov
Journal de Mathématiques Pures et Appliquées, 2018, 109, pp.147-181. ⟨10.1016/j.matpur.2017.05.021⟩
Article dans une revue hal-01318549v2