Dorin Bucur
[bucur]
Professor, Université de Savoie
Email: dorin.bucur AT univ-savoie.fr
Home-page: https://bucur.perso.math.cnrs.fr
Available papers (56):
[plain text]- L. Briani - D. Bucur (Preprint)
Mean-to-max ratio of the torsion function and honeycomb structures (2023) - D. Bucur - A. Chambolle - A. Giacomini - M. Nahon (preprint)
A free discontinuity approach to optimal profiles in Stokes flows (2023) - B. Bogosel - D. Bucur - I. Fragalà (preprint)
The nonlocal isoperimetric problem for polygons: Hardy-Littlewood and Riesz inequalities (2023) - D. Bucur - J. Lamboley - M. Nahon - R. Prunier (preprint)
Sharp Quantitative Stability of the Dirichlet spectrum near the ball (2023) - D. Bucur - B. Bogosel (Preprint)
On the Polygonal Faber-Krahn Inequality (2022) - D. Bucur - E. Martinet - E. Oudet (Submitted Paper)
Maximization of Neumann eigenvalues (2022) - D. Bucur - E. Martinet - M. Nahon (Submitted Paper)
Sharp inequalities for Neumann eigenvalues on the sphere (2022) - D. Bucur - I. Fragalà (preprint)
Rigidity for measurable sets (2021) - D. Bucur - M. Nahon - C. Nitsch - C. Trombetti (preprint)
Shape optimization of a thermal insulation problem (2021) - D. Bucur - A. Giacomini - P. Trebeschi (Submitted Paper)
Stability results for the Robin Laplacian on nonsmooth domains (2021) - D. Bucur - A. Henrot - M. Michetti (Comm. Partial Differential Equations)
Asymptotic behaviour of the Steklov problem on dumbbell domains (2021) - D. Bucur - M. Nahon (Submitted Paper)
Stability and instability issues of the Weinstock inequality (2020) - D. Bucur - I. Fragalà (Submitted Paper)
Symmetry results for variational energies on convex polygons (2020) - D. Bucur - A. Giacomini - M. Nahon (Submitted Paper)
Degenerate free discontinuity problems and spectral inequalities in quantitative form (2020) - D. Bucur - I. Fragalà - A. Giacomini (Submitted Paper)
The Multiphase Mumford-Shah Problem (2019) - D. Bucur - A. Giacomini - P. Trebeschi (Submitted Paper)
$L^\infty$ bounds of Steklov eigenfunctions and spectrum stability under domain variation (2019) - D. Bucur - S. Cito (Journal of Geometric Analysis)
Geometric control of the Robin Laplacian eigenvalues: the case of negative boundary parameter (2019) - D. Bucur - A. Henrot (Submitted Paper)
Maximization of the second non-trivial Neumann eigenvalue (2018) - D. Bucur - I. Fragalà - A. Giacomini (preprint)
Optimal partitions for Robin Laplacian eigenvalues (2018) - M. van den Berg - D. Bucur (preprint)
Sign changing solutions of Poisson's equation (2018) - D. Bucur - I. Fragalà - A. Giacomini (Submitted Paper)
Local minimality results for the Mumford-Shah functional via monotonicity (2018) - D. Bucur - I. Fragalà - A. Giacomini (Submitted Paper)
Multiphase Free Discontinuity Problems: Monotonicity Formula and Regularity Results (2018) - D. Bucur - A. Giacomini (Preprint)
Minimization of the k-th eigenvalue of the Robin-Laplacian (2017) - D. Bucur - I. Fragalà (Preprint)
On the honeycomb conjecture for Robin Laplacian eigenvalues (2017) - B. Bogosel - D. Bucur - I. Fragalà (Submitted Paper)
Phase field approach to optimal packing problems and related Cheeger clusters (2017) - D. Bucur - A. Giacomini - P. Trebeschi (Submitted Paper)
Best constant in Poincaré inequalities with traces: a free discontinuity approach (2017) - D. Bucur - I. Fragalà (Submitted Paper)
Proof of the honeycomb asymptotics for optimal Cheeger clusters (2017) - D. Bucur - G. Buttazzo - C. Nitsch (Notices Amer. Math. Soc.)
Two optimization problems in thermal insulation (2017) - D. Bucur - V. Ferone - C. Nitsch - C. Trombetti (Submitted Paper)
Weinstock inequality in higher dimensions (2017) - D. Bucur - A. Henrot (Accepted Paper: JEMS)
A new isoperimetric inequality for the elasticae (2017) - D. Bucur - G. Buttazzo - C. Nitsch (Accepted Paper: Journal de Mathématiques Pures et Appliquées)
Symmetry breaking for a problem in optimal insulation (2017) - D. Bucur - I. Fragalà - G. Verzini - B. Velichkov (Accepted Paper: Trans. Amer. Math. Soc.)
On the honeycomb conjecture for a class of minimal convex partitions (2017) - B. Bogosel - D. Bucur - A. Giacomini (SIAM J. Math. Analysis (to appear))
Optimal shapes maximizing the Steklov eigenvalues (2016) - D. Bucur - A. Giacomini - P. Trebeschi (Calc. Var. Partial Differential Equations)
The Robin-Laplacian problem on varying domains (2016) - D. Bucur - D. Mazzoleni (SIAM J. Math. Anal.)
A surgery result for the spectrum of the Dirichlet Laplacian (2015) - D. Bucur - A. Giacomini (Arch. Ration. Mech. Anal.)
FABER-KRAHN INEQUALITIES FOR THE ROBIN-LAPLACIAN: A FREE DISCONTINUITY APPROACH (2015) - D. Bucur - A. Giacomini (Accepted Paper: Ann. Inst. H. Poincaré Anal. Non Linéaire)
Shape optimization problems with Robin conditions on the free boundary (2015) - D. Bucur - D. Mazzoleni - A. Pratelli - B. Velichkov (Arch. Rat. Mech. Anal.)
Lipschitz regularity of the eigenfunctions on optimal domains (2015) - D. Bucur - I. Fragalà (Submitted Paper: Journal of Geometric Analysis)
A Faber-Krahn inequality for the Cheeger constant of N-gons (2014) - D. Bucur - G. Buttazzo - B. Velichkov (SIAM J. Math. Anal.)
Spectral optimization problems for potentials and measures (2014) - D. Bucur - B. Velichkov (SIAM J. Control Optim.)
Multiphase shape optimization problems (2014) - D. Bucur - S. Luckhaus (Accepted Paper: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS)
Monotonicity formula and regularity for general free discontinuity problems (2013) - D. Bucur - G. Buttazzo - U. Stefanelli (Interfaces Free Bound.)
Shape flows for spectral optimization problems (2013) - D. Bucur - G. Buttazzo - B. Velichkov (Ann. I. H. Poincare' Anal. Non Lineaire )
Shape Optimization Problems with Internal Constraint (2013) - D. Bucur (Arch. Ration. Mech. Anal.)
Minimization of the k-th eigenvalue of the Dirichlet Laplacian (2012) - D. Bucur - I. Fragalà - J. Lamboley (ESAIM Control Optim. Calc. Var.)
Optimal convex shapes for concave functionals (2012) - D. Bucur - G. Buttazzo (Accepted Paper: Calc. Var. and PDEs)
On the characterization of the compact embedding of Sobolev spaces (2012) - D. Bucur - A. Giacomini (Arch. Ration. Mech. Anal.)
A variational approach to the isoperimetric inequality for the Robin eigenvalue problem (2010) - D. Bucur - G. Buttazzo - A. Henrot (Preprint)
Minimization of $\lambda_2(\Omega)$ with a perimeter constraint (2009) - D. Bucur - G. Buttazzo (Preprint)
Irreversible quasistatic evolutions by minimizing movements (2007) - D. Bucur - G. Buttazzo - A. Lux (Submitted Paper)
Quasistatic evolution in debonding problems via capacitary methods (2006) - Z. Belhachmi - D. Bucur - G. Buttazzo - J. M. Sac-Epée (Preprint)
Shape optimization problems for eigenvalues of elliptic operators (2005) - D. Bucur - G. Buttazzo - N. Varchon (SIAM J. Optim.)
On the problem of optimal cutting (2001) - D. Bucur - G. Buttazzo - P. Trebeschi
An Existence Result for Optimal Obstacles (1998) - D. Bucur - G. Buttazzo
Results and Questions on Minimum Problems for Eigenvalues (1998) - D. Bucur - P. Trebeschi
Shape Optimization Problems Governed by Nonlinear State Equations (1998)
Speaker:
- 4 sep 2023 - 6 sep 2023: Spectral Theory workshop
- 4 jul 2022 - 6 jul 2022: Calculus of Variations in Lille - 3rd edition
- 13 jun 2022 - 17 jun 2022: Shape Optimization, related topics and applications
- 21 feb 2022 - 25 feb 2022: Free Boundary Problems and Related Evolution Equations
- 9 aug 2021 - 20 aug 2021: 30th Jyväskylä Summer School
- 12 apr 2021 - 16 apr 2021: Optimization of shape and material properties: advanced mathematical methods and 3D printing
- 2 sep 2019 - 5 sep 2019: Optimal Transport and Optimal Patterns
- 26 nov 2018 - 30 nov 2018: Analysis, Control and Inverse Problems for PDEs
- 22 aug 2018 - 23 aug 2018: Nonlinear PDE Days Frankfurt - Gießen - Karlsruhe - Köln
- 11 jun 2018 - 21 jun 2018: PhD Course "SHAPE OPTIMIZATION AND ISOPERIMETRIC INEQUALITIES"
- 25 oct 2016 - 28 oct 2016: Workshop in Geometric Measure Theory, Shape Optimisation and Free Boundaries
- 19 sep 2016 - 21 sep 2016: Geometric properties of solutions to elliptic and parabolic problems
- 15 sep 2016 - 16 sep 2016: Recent trends in the analysis of spectral problems and applications
- 9 sep 2013 - 13 sep 2013: ERC School "Geometric Functional Inequalities and Shape Optimization"
- 1 jun 2012 - 31 jul 2012: Geometric and Analytic techniques in Calculus of Variations and Partial Differential Equations
Organizer:
- 18 sep 2023 - 22 sep 2023: Shape Optimization and Isoperimetric and Functional Inequalities
- 29 mar 2021 - 2 apr 2021: Research School "Shape Optimization, Spectral Geometry and Calculus of Variations"
- 21 nov 2016 - 25 nov 2016: Shape Optimization and Isoperimetric and Functional Inequalities