D. Bucur

Most-cited papers

Control and Cybernetics
George Avalos, T. Banek, V. Barbu, Romania +38 more
2010434 citations
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Minimization of the k-th eigenvalue of the Dirichlet Laplacian
D. Bucur
2012Archive for Rational Mechanics and Analysis123 citations Open access
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A Variational Approach to the Isoperimetric Inequality for the Robin Eigenvalue Problem
D. Bucur, A. Giacomini
201081 citations
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Faber–Krahn Inequalities for the Robin-Laplacian: A Free Discontinuity Approach
D. Bucur, A. Giacomini
201573 citations
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Boundary Behavior of Viscous Fluids: Influence of Wall Roughness and Friction-driven Boundary Conditions
D. Bucur, E. Feireisl, Š. Nečasová
201062 citations
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Maximization of the second non-trivial Neumann eigenvalue
D. Bucur, A. Henrot
2018Acta Mathematica56 citations Open access
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Lipschitz Regularity of the Eigenfunctions on Optimal Domains
D. Bucur, Dario Mazzoleni, A. Pratelli, B. Velichkov
201354 citations Open access
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Weinstock inequality in higher dimensions
D. Bucur, V. Ferone, C. Nitsch, C. Trombetti
2017Journal of differential geometry50 citations Open access
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Symmetry breaking for a problem in optimal insulation
D. Bucur, G. Buttazzo, C. Nitsch
201648 citations Open access
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Monotonicity Formula and Regularity for General Free Discontinuity Problems
D. Bucur, S. Luckhaus
2013Archive for Rational Mechanics and Analysis46 citations
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The First Biharmonic Steklov Eigenvalue: Positivity Preserving and Shape Optimization
D. Bucur, F. Gazzola
201146 citations
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Multiphase Shape Optimization Problems
D. Bucur, B. Velichkov
2013SIAM Journal of Control and Optimization42 citations Open access
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Shape optimization problems with Robin conditions on the free boundary
D. Bucur, A. Giacomini
201641 citations Open access
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Optimal convex shapes for concave functionals
D. Bucur, I. Fragalà, Jimmy Lamboley
201139 citations Open access
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A Sharp estimate for the first Robin–Laplacian eigenvalue with negative boundary parameter
D. Bucur, V. Ferone, C. Nitsch, C. Trombetti
2018Rendiconti Lincei - Matematica e Applicazioni38 citations Open access
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Optimal Shapes Maximizing the Steklov Eigenvalues
Beniamin Bogosel, D. Bucur, A. Giacomini
2017SIAM Journal on Mathematical Analysis32 citations
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Asymptotic behaviour of optimal spectral planar domains with fixed perimeter
D. Bucur, P. Freitas
201332 citations
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On the Polygonal Faber-Krahn Inequality
Beniamin Bogosel, D. Bucur
2022Journal de l'École polytechnique. Mathématiques31 citations Open access
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Maximising Neumann eigenvalues on rectangles
M. van den Berg, D. Bucur, K. Gittins
201531 citations Open access
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Minimization of $\lambda_2(\Omega)$ with a perimeter constraint
D. Bucur, G. Buttazzo, A. Henrot
200929 citations Open access
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The Saint-Venant Inequality for the Laplace Operator with Robin Boundary Conditions
D. Bucur, A. Giacomini
201526 citations
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Spectral Optimization Problems for Potentials and Measures
D. Bucur, G. Buttazzo, B. Velichkov
2013SIAM Journal on Mathematical Analysis26 citations Open access
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On the honeycomb conjecture for a class of minimal convex partitions
D. Bucur, I. Fragalà, B. Velichkov, G. Verzini
201725 citations Open access
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4 The Robin problem
D. Bucur, P. Freitas, J. Kennedy
201724 citations Open access
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Lower Bounds for the Prékopa-Leindler Deficit by Some Distances Modulo Translations
D. Bucur, Ilaria Fragalà
2014Journal of Convex Analysis24 citations Open access
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A new isoperimetric inequality for the elasticae
D. Bucur, A. Henrot
201424 citations Open access
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Two optimization problems in thermal insulation
D. Bucur, G. Buttazzo, C. Nitsch
201723 citations Open access
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A Faber–Krahn Inequality for the Cheeger Constant of $$N$$N-gons
D. Bucur, I. Fragalà
201623 citations
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Stability and instability issues of the Weinstock inequality
D. Bucur, Mickael Nahon
2020Transactions of the American Mathematical Society22 citations Open access
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L∞ bounds of Steklov eigenfunctions and spectrum stability under domain variation
D. Bucur, A. Giacomini, P. Trebeschi
202020 citations Open access
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Spectral optimization problems with internal constraint
D. Bucur, G. Buttazzo, B. Velichkov
201319 citations Open access
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The quantitative Faber-Krahn inequality for the Robin Laplacian
D. Bucur, V. Ferone, C. Nitsch, C. Trombetti
201618 citations Open access
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The geometric size of the fundamental gap
V. Amato, D. Bucur, I. Fragalà
202415 citations
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Proof of the honeycomb asymptotics for optimal Cheeger clusters
D. Bucur, I. Fragalà
2017Advances in Mathematics15 citations Open access
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The Robin–Laplacian problem on varying domains
D. Bucur, A. Giacomini, P. Trebeschi
201614 citations
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On the honeycomb conjecture for Robin Laplacian eigenvalues
D. Bucur, I. Fragalà
2017Communications in Contemporary Mathematics13 citations Open access
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The Uniform Rugosity Effect
M. Bonnivard, D. Bucur
2011Journal of Mathematical Fluid Mechanics13 citations Open access
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Phase Field Approach to Optimal Packing Problems and Related Cheeger Clusters
Beniamin Bogosel, D. Bucur, I. Fragalà
2017Applied Mathematics and Optimization12 citations Open access
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Polygonal Faber-Krahn inequality: Local minimality via validated computing
Beniamin Bogosel, D. Bucur
2024Communications in Contemporary Mathematics11 citations
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Shape optimization of a thermal insulation problem
D. Bucur, Mickael Nahon, C. Nitsch, C. Trombetti
2021Calculus of Variations and Partial Differential Equations11 citations Open access
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Best constant in Poincaré inequalities with traces: A free discontinuity approach
D. Bucur, A. Giacomini, P. Trebeschi
2019Annales de l'Institut Henri Poincare. Analyse non linéar11 citations Open access
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Blaschke–Santaló and Mahler inequalities for the first eigenvalue of the Dirichlet Laplacian
D. Bucur, I. Fragalà
201610 citations
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A Surgery Result for the Spectrum of the Dirichlet Laplacian
D. Bucur, Dario Mazzoleni
2014SIAM Journal on Mathematical Analysis10 citations Open access
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Maximization of Neumann Eigenvalues
D. Bucur, Eloi Martinet, É. Oudet
2022Archive for Rational Mechanics and Analysis9 citations Open access
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Sharp inequalities for Neumann eigenvalues on the sphere
D. Bucur, Eloi Martinet, Mickael Nahon
2022Journal of differential geometry9 citations Open access
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Symmetry results for variational energies on convex polygons
D. Bucur, I. Fragalà
2020E S A I M: Control, Optimisation and Calculus of Variations9 citations Open access
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Sharp Quantitative Stability of the Dirichlet spectrum near the ball
D. Bucur, Jimmy Lamboley, Mickael Nahon, R. Prunier
20238 citations
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Rigidity for measurable sets
D. Bucur, I. Fragalà
2021Advances in Mathematics8 citations Open access
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Degenerate Free Discontinuity Problems and Spectral Inequalities in Quantitative Form
D. Bucur, A. Giacomini, Mickael Nahon
2020Archive for Rational Mechanics and Analysis8 citations Open access
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Geometric Control of the Robin Laplacian Eigenvalues: The Case of Negative Boundary Parameter
D. Bucur, S. Cito
2020Journal of Geometric Analysis8 citations
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