Edit Profile (opens in new tab) Bucur, Dorin Co-Author Distance Author ID: bucur.dorin Published as: Bucur, Dorin; Bucur, D. Documents Indexed: 121 Publications since 1994, including 2 Books 1 Contribution as Editor Co-Authors: 48 Co-Authors with 107 Joint Publications 1,203 Co-Co-Authors all top 5 Co-Authors 11 single-authored 16 Buttazzo, Giuseppe 16 Fragalà, Ilaria 16 Giacomini, Alessandro 15 Zolésio, Jean-Paul 9 Henrot, Antoine 8 Trebeschi, Paola 6 Velichkov, Bozhidar 5 Belhachmi, Zakaria 5 Feireisl, Eduard 5 Nitsch, Carlo 5 Varchon, Nicolas 4 Nečasová, Šárka 4 Trombetti, Cristina 3 Ferone, Vincenzo 3 Freitas, Pedro 3 Nahon, Mickaël 3 Oudet, Edouard 3 van den Berg, Michiel 2 Bogoşel, Beniamin 2 Bonnivard, Matthieu 2 Gazzola, Filippo 2 Mazzoleni, Dario 2 Sac-Epee, Jean-Marc 1 Ashbaugh, S. 1 Bourdin, Blaise 1 Briani, Luca 1 Burgeth, Bernhard F. 1 Chatelain, Thierry 1 Cito, Simone 1 Dalibard, Anne-Laure 1 Daners, Daniel 1 de Figueiredo, Isabel Maria Narra 1 Durus, Ioana 1 Ferrero, Alberto 1 Gérard-Varet, David 1 Gittins, Katie 1 Ionescu, Ioan Romeo 1 Kappeler, Thomas 1 Kennedy, James Bernard 1 Lamboley, Jimmy 1 Luckhaus, Stephan 1 Lux, Anne 1 Martinet, Eloi 1 Michetti, Marco 1 Pratelli, Aldo 1 Sokołowski, Jan 1 Stefanelli, Ulisse 1 Verzini, Gianmaria 1 Weickert, Joachim 1 Wolf, Jörg 1 Zochowski, Antoni all top 5 Serials 9 Archive for Rational Mechanics and Analysis 8 Journal of Differential Equations 7 Calculus of Variations and Partial Differential Equations 6 SIAM Journal on Mathematical Analysis 5 Comptes Rendus de l’Académie des Sciences. Série I 4 Journal of Functional Analysis 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Journal of Convex Analysis 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Advances in Mathematical Sciences and Applications 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Advances in Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Control and Cybernetics 2 Proceedings of the London Mathematical Society. Third Series 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 The Journal of Geometric Analysis 2 SIAM Journal on Applied Mathematics 2 Potential Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Journal of Mathematical Fluid Mechanics 2 Milan Journal of Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Bulletin of the London Mathematical Society 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Proceedings of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Notices of the American Mathematical Society 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 SIAM Journal on Optimization 1 SIAM Journal on Scientific Computing 1 Electronic Journal of Differential Equations (EJDE) 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Nonlinear Analysis. Real World Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 SIAM Journal on Imaging Sciences 1 Analysis & PDE 1 Philosophical Transactions A. Royal Society of London 1 Progress in Nonlinear Differential Equations and Their Applications 1 Appunti dei Corsi Tenuti da Docenti della Scuola all top 5 Fields 80 Partial differential equations (35-XX) 77 Calculus of variations and optimal control; optimization (49-XX) 11 Operator theory (47-XX) 9 Convex and discrete geometry (52-XX) 8 Fluid mechanics (76-XX) 7 Numerical analysis (65-XX) 7 Mechanics of deformable solids (74-XX) 6 Real functions (26-XX) 6 Potential theory (31-XX) 6 Geometry (51-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Measure and integration (28-XX) 5 Functional analysis (46-XX) 4 Differential geometry (53-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 107 Publications have been cited 1,196 times in 687 Documents Cited by ▼ Year ▼ Variational methods in shape optimization problems. Zbl 1117.49001Bucur, Dorin; Buttazzo, Giuseppe 183 2005 Minimization of the \(k\)-th eigenvalue of the Dirichlet Laplacian. Zbl 1254.35165Bucur, Dorin 51 2012 On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries. Zbl 1143.35080Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka; Wolf, Joerg 46 2008 An alternative approach to the Faber-Krahn inequality for Robin problems. Zbl 1186.35118Bucur, Dorin; Daners, Daniel 38 2010 A variational approach to the isoperimetric inequality for the Robin eigenvalue problem. Zbl 1228.49049Bucur, Dorin; Giacomini, Alessandro 38 2010 Existence results for some optimal partition problems. Zbl 0915.49006Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 37 1998 \(N\)-dimensional shape optimization under capacitary constraint. Zbl 0847.49029Bucur, Dorin; Zolesio, Jean Paul 33 1995 Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions. Zbl 1273.76073Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka 31 2010 Faber-Krahn inequalities for the Robin-Laplacian: a free discontinuity approach. Zbl 1458.35286Bucur, Dorin; Giacomini, Alessandro 29 2015 On the first eigenvalue of a fourth order Steklov problem. Zbl 1171.35089Bucur, Dorin; Ferrero, Alberto; Gazzola, Filippo 27 2009 Optimal partitions for eigenvalues. Zbl 1207.49050Bourdin, Blaise; Bucur, Dorin; Oudet, Édouard 25 2009 Shape optimisation problems governed by nonlinear state equations. Zbl 0918.49030Bucur, Dorin; Trebeschi, Paola 23 1998 Shape optimization problems with Robin conditions on the free boundary. Zbl 1352.49045Bucur, Dorin; Giacomini, Alessandro 23 2016 Monotonicity formula and regularity for general free discontinuity problems. Zbl 1283.49056Bucur, Dorin; Luckhaus, Stephan 22 2014 Lipschitz regularity of the eigenfunctions on optimal domains. Zbl 1319.49067Bucur, Dorin; Mazzoleni, Dario; Pratelli, Aldo; Velichkov, Bozhidar 20 2015 Boundary variation for a Neumann problem. Zbl 1072.35063Bucur, Dorin; Varchon, Nicolas 19 2000 The Robin problems. Zbl 1375.49053Bucur, Dorin; Freitas, Pedro; Kennedy, James 19 2017 The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization. Zbl 1229.35156Bucur, Dorin; Gazzola, Filippo 19 2011 Minimization of the third eigenvalue of the Dirichlet Laplacian. Zbl 0974.35082Bucur, Dorin; Henrot, Antoine 18 2000 On the asymptotic limit of flows past a ribbed boundary. Zbl 1189.35219Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka 17 2008 Multiphase shape optimization problems. Zbl 1312.49050Bucur, Dorin; Velichkov, Bozhidar 17 2015 Asymptotic behaviour of optimal spectral planar domains with fixed perimeter. Zbl 1290.35164Bucur, Dorin; Freitas, Pedro 16 2013 Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 16 2009 Optimal shapes maximizing the Steklov eigenvalues. Zbl 1367.49037Bogosel, Beniamin; Bucur, Dorin; Giacomini, Alessandro 14 2017 A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter. Zbl 1427.35163Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina 14 2019 On the attainable eigenvalues of the Laplace operator. Zbl 0920.35099Bucur, Dorin; Buttazzo, Giuseppe; Figueiredo, Isabel 13 1999 A duality approach for the boundary variation of Neumann problems. Zbl 1055.35037Bucur, Dorin; Varchon, Nicolas 13 2002 The incompressible limit of the full Navier-Stokes-Fourier system on domains with rough boundaries. Zbl 1162.76048Bucur, Dorin; Feireisl, Eduard 13 2009 Maximization of the second non-trivial Neumann eigenvalue. Zbl 1423.35271Bucur, Dorin; Henrot, Antoine 13 2019 On the torsion function with Robin or Dirichlet boundary conditions. Zbl 1292.35141van den Berg, M.; Bucur, D. 12 2014 Influence of wall roughness on the slip behaviour of viscous fluids. Zbl 1151.76004Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka 12 2008 Regularity of optimal convex shapes. Zbl 1057.49029Bucur, Dorin 11 2003 The quantitative Faber-Krahn inequality for the Robin Laplacian. Zbl 1387.35428Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina 11 2018 A Faber-Krahn inequality for the Cheeger constant of \(N\)-gons. Zbl 1334.49129Bucur, Dorin; Fragalà, Ilaria 10 2016 Uniform concentration-compactness for Sobolev spaces on variable domains. Zbl 0957.49027Bucur, Dorin 10 2000 Lower bounds for the Prékopa-Leindler deficit by some distances modulo translations. Zbl 1326.26032Bucur, Dorin; Fragalà, Ilaria 10 2014 How to choose interpolation data in images. Zbl 1190.94006Belhachmi, Zakaria; Bucur, Dorin; Burgeth, Bernhard; Weickert, Joachim 10 2009 On the honeycomb conjecture for a class of minimal convex partitions. Zbl 1396.52024Bucur, Dorin; Fragalà, Ilaria; Velichkov, Bozhidar; Verzini, Gianmaria 10 2018 Weinstock inequality in higher dimensions. Zbl 1468.35038Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina 10 2021 A new isoperimetric inequality for the elasticae. Zbl 1377.49047Bucur, Dorin; Henrot, Antoine 10 2017 Maximising Neumann eigenvalues on rectangles. Zbl 1358.35078van den Berg, M.; Bucur, D.; Gittins, K. 10 2016 Spectral optimization problems for potentials and measures. Zbl 1301.49122Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar 9 2014 Asymptotic analysis and scaling of friction parameters. Zbl 1106.35038Bucur, Dorin; Ionescu, Ioan R. 9 2006 On the isoperimetric inequality for the buckling of a clamped plate. Zbl 1030.49043Ashbaugh, S.; Bucur, Dorin 9 2003 Two optimization problems in thermal insulation. Zbl 1372.80002Bucur, Dorin; Buttazzo, Giuseppe; Nitsch, Carlo 9 2017 Optimal convex shapes for concave functionals. Zbl 1253.49031Bucur, Dorin; Fragalà, Ilaria; Lamboley, Jimmy 9 2012 \(L^\infty\) bounds of Steklov eigenfunctions and spectrum stability under domain variation. Zbl 1450.35192Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola 9 2020 Anatomy of the shape Hessian via Lie brackets. Zbl 0939.49023Bucur, Dorin; Zolésio, Jean-Paul 8 1997 Stability and uniqueness for the crack identification problem. Zbl 1136.35102Belhachmi, Zakaria; Bucur, Dorin 7 2007 Shape optimization problems for eigenvalues of elliptic operators. Zbl 1087.49032Belhachmi, Zakaria; Bucur, Dorin; Buttazzo, Giuseppe; Sac-Epée, Jean-Marc 7 2006 Variational methods in some shape optimization problems. Zbl 1066.49026Bucur, Dorin; Buttazzo, Giuseppe 7 2002 Stability and instability issues of the Weinstock inequality. Zbl 1458.35287Bucur, Dorin; Nahon, Mickaël 7 2021 On the characterization of the compact embedding of Sobolev spaces. Zbl 1241.49023Bucur, Dorin; Buttazzo, Giuseppe 7 2012 The uniform rugosity effect. Zbl 1294.35088Bonnivard, Matthieu; Bucur, Dorin 6 2012 Spectral optimization problems with internal constraint. Zbl 1287.49049Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar 6 2013 Characterization for the Kuratowski limits of a sequence of Sobolev spaces. Zbl 0924.46028Bucur, Dorin 6 1999 The Saint-Venant inequality for the Laplace operator with Robin boundary conditions. Zbl 1334.35183Bucur, Dorin; Giacomini, Alessandro 6 2015 Stability of the Neumann problem for variations of the boundary. (Stabilité de la solution d’un problème de Neumann pour des variations de frontière.) Zbl 0961.35030Bucur, Dorin; Varchon, Nicolas 5 2000 Boundary optimization under pseudo curvature constraint. Zbl 0889.49026Bucur, Dorin; Zolésio, Jean-Paul 5 1996 Free boundary problems and density perimeter. Zbl 0856.35137Bucur, Dorin; Zolésio, Jean-Paul 5 1996 A surgery result for the spectrum of the Dirichlet Laplacian. Zbl 1331.49062Bucur, Dorin; Mazzoleni, Dario 5 2015 Characterization of the shape stability for nonlinear elliptic problems. Zbl 1245.35035Bucur, Dorin 5 2006 Proof of the honeycomb asymptotics for optimal Cheeger clusters. Zbl 1418.52006Bucur, Dorin; Fragalà, Ilaria 5 2019 The Robin-Laplacian problem on varying domains. Zbl 1379.35062Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola 4 2016 Spectrum stability of an elliptic operator to domain perturbations. Zbl 0919.49014Bucur, Dorin; Zolésio, Jean-Paul 4 1998 On the problem of optimal cutting. Zbl 1028.49033Bucur, Dorin; Buttazzo, Giuseppe; Varchon, Nicolas 4 2002 Continuity with respect to the domain in the Neumann problem. (Continuité par rapport au domaine dans le problème de Neumann.) Zbl 0805.35010Bucur, Dorin; Zolesio, Jean-Paul 4 1994 Quasistatic evolution in debonding problems via capacitary methods. Zbl 1155.74030Bucur, Dorin; Buttazzo, Giuseppe; Lux, Anne 4 2008 On the honeycomb conjecture for Robin Laplacian eigenvalues. Zbl 1414.49044Bucur, Dorin; Fragalà, Ilaria 4 2019 Minimization of the \(k\)-th eigenvalue of the Robin-Laplacian. Zbl 1429.49015Bucur, Dorin; Giacomini, Alessandro 4 2019 Best constant in Poincaré inequalities with traces: a free discontinuity approach. Zbl 1428.49043Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola 4 2019 A characterization theorem for the \(\gamma\)-convergence. (Un théorème de caractérisation pour la \(\gamma\)-convergence.) Zbl 0859.35023Bucur, Dorin 3 1996 Mini-workshop: Shape analysis for eigenvalues. Abstracts from the mini-workshop held April 8–14, 2007. Zbl 1177.49004 3 2007 Continuity of the elasticity system solutions with respect to the geometrical domain variations. Zbl 1001.74008Bucur, D.; Henrot, A.; Sokolowski, J.; Żochowski, A. 3 2001 An existence result for optimal obstacles. Zbl 0920.49008Bucur, Dorin; Buttazzo, Giuseppe; Trebeschi, Paola 3 1999 Wall laws for viscous fluids near rough surfaces. Zbl 1329.76052Bucur, Dorin; Dalibard, Anne-Laure; Gérard-Varet, David 3 2012 Whitney property in two dimensional Sobolev spaces. Zbl 1151.46018Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola 3 2008 Shape optimisation under uniform capacity condition. (Optimisation de forme sous contrainte capacitaire.) Zbl 0806.35008Bucur, Dorin; Zolesio, Jean-Paul 3 1994 Phase field approach to optimal packing problems and related Cheeger clusters. Zbl 1433.49057Bogosel, Beniamin; Bucur, Dorin; Fragalà, Ilaria 3 2020 Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244Bucur, Dorin; Henrot, Antoine; Michetti, Marco 3 2021 Geometric control of the Robin Laplacian eigenvalues: the case of negative boundary parameter. Zbl 1460.49031Bucur, Dorin; Cito, Simone 3 2020 Degenerate free discontinuity problems and spectral inequalities in quantitative form. Zbl 1472.49064Bucur, Dorin; Giacomini, Alessandro; Nahon, Mickaël 3 2021 Global minimizing domains for the first eigenvalue of an elliptic operator with non-constant coefficients. Zbl 0958.49024Bucur, Dorin; Varchon, Nicolas 2 2000 Shape optimization for elliptic problems under Neumann boundary conditions. Zbl 0900.35043Bucur, Dorin; Zolesio, Jean-Paul 2 1994 Wiener’s criterion and shape continuity for the Dirichlet problem. Zbl 0891.35161Bucur, Dorin; Zolesio, Jean-Paul 2 1997 How to prove existence in shape optimization. Zbl 1167.49325Bucur, Dorin 2 2005 Shape continuity for Dirichlet-Neumann problems. Zbl 0854.35011Bucur, D.; Zolesio, J.-P. 2 1996 Shape analysis for nonsmooth elliptic operators. Zbl 0874.49035Bucur, D. 2 1996 Symmetry results for variational energies on convex polygons. Zbl 1468.49047Bucur, Dorin; Fragalà, Ilaria 2 2021 Optimal partitions for Robin Laplacian eigenvalues. Zbl 1403.49046Bucur, Dorin; Fragalà, Ilaria; Giacomini, Alessandro 2 2018 A free boundary approach to shape optimization problems. Zbl 1353.49052Bucur, D.; Velichkov, B. 1 2015 Stability of the spectrum of an elliptic operator with respect to the domain. (Stabilité du spectre d’un opérateur elliptique par rapport au domaine.) Zbl 0874.35076Bucur, Dorin; Zolésio, Jean-Paul 1 1997 The eigenvalue problem with conductivity boundary conditions. Zbl 1181.35152Bucur, Dorin; Durus, Ioana; Oudet, Edouard 1 2008 Stability for the Dirichlet problem under continuous Steiner symmetrization. Zbl 0977.31007Bucur, Dorin; Henrot, Antoine 1 2000 Concentration-compactness principle and \(\gamma\)-convergence. (Concentration-compacité et \(\gamma\)-convergence.) Zbl 0914.35039Bucur, Dorin 1 1998 Finite element approximation of the Neumann eigenvalue problem in domains with multiple cracks. Zbl 1105.65110Belhachmi, Zakaria; Bucur, Dorin; Sac-Epee, Jean-Marc 1 2006 Flat cone condition and shape analysis. Zbl 0830.49026Bucur, D.; Zolésio, J. P. 1 1994 A new relaxation space for obstacles. Zbl 1038.49021Bucur, Dorin; Trebeschi, Paola 1 2003 Reverse Faber-Krahn and Mahler inequalities for the Cheeger constant. Zbl 1404.52001Bucur, Dorin; Fragalà, Ilaria 1 2018 Microshape control, riblets, and drag minimization. Zbl 1426.76145Bonnivard, Matthieu; Bucur, Dorin 1 2013 Alexandrov theorem for general nonlocal curvatures: the geometric impact of the kernel. Zbl 1503.53088Bucur, Dorin; Fragalà, Ilaria 1 2023 Shape optimization of a thermal insulation problem. Zbl 1496.35383Bucur, Dorin; Nahon, Mickaël; Nitsch, Carlo; Trombetti, Cristina 1 2022 On efficiency and localisation for the torsion function. Zbl 1505.35110van den Berg, M.; Bucur, D.; Kappeler, T. 1 2022 Weinstock inequality in higher dimensions. Zbl 1468.35038Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina 10 2021 Stability and instability issues of the Weinstock inequality. Zbl 1458.35287Bucur, Dorin; Nahon, Mickaël 7 2021 Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244Bucur, Dorin; Henrot, Antoine; Michetti, Marco 3 2021 Degenerate free discontinuity problems and spectral inequalities in quantitative form. Zbl 1472.49064Bucur, Dorin; Giacomini, Alessandro; Nahon, Mickaël 3 2021 Symmetry results for variational energies on convex polygons. Zbl 1468.49047Bucur, Dorin; Fragalà, Ilaria 2 2021 \(L^\infty\) bounds of Steklov eigenfunctions and spectrum stability under domain variation. Zbl 1450.35192Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola 9 2020 Phase field approach to optimal packing problems and related Cheeger clusters. Zbl 1433.49057Bogosel, Beniamin; Bucur, Dorin; Fragalà, Ilaria 3 2020 Geometric control of the Robin Laplacian eigenvalues: the case of negative boundary parameter. Zbl 1460.49031Bucur, Dorin; Cito, Simone 3 2020 Sign changing solutions of Poisson’s equation. Zbl 1455.35061van den Berg, M.; Bucur, D. 1 2020 A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter. Zbl 1427.35163Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina 14 2019 Maximization of the second non-trivial Neumann eigenvalue. Zbl 1423.35271Bucur, Dorin; Henrot, Antoine 13 2019 Proof of the honeycomb asymptotics for optimal Cheeger clusters. Zbl 1418.52006Bucur, Dorin; Fragalà, Ilaria 5 2019 On the honeycomb conjecture for Robin Laplacian eigenvalues. Zbl 1414.49044Bucur, Dorin; Fragalà, Ilaria 4 2019 Minimization of the \(k\)-th eigenvalue of the Robin-Laplacian. Zbl 1429.49015Bucur, Dorin; Giacomini, Alessandro 4 2019 Best constant in Poincaré inequalities with traces: a free discontinuity approach. Zbl 1428.49043Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola 4 2019 The multiphase Mumford-Shah problem. Zbl 1439.49075Bucur, Dorin; Fragalà, Ilaria; Giacomini, Alessandro 1 2019 The quantitative Faber-Krahn inequality for the Robin Laplacian. Zbl 1387.35428Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina 11 2018 On the honeycomb conjecture for a class of minimal convex partitions. Zbl 1396.52024Bucur, Dorin; Fragalà, Ilaria; Velichkov, Bozhidar; Verzini, Gianmaria 10 2018 Optimal partitions for Robin Laplacian eigenvalues. Zbl 1403.49046Bucur, Dorin; Fragalà, Ilaria; Giacomini, Alessandro 2 2018 Reverse Faber-Krahn and Mahler inequalities for the Cheeger constant. Zbl 1404.52001Bucur, Dorin; Fragalà, Ilaria 1 2018 The Robin problems. Zbl 1375.49053Bucur, Dorin; Freitas, Pedro; Kennedy, James 19 2017 Optimal shapes maximizing the Steklov eigenvalues. Zbl 1367.49037Bogosel, Beniamin; Bucur, Dorin; Giacomini, Alessandro 14 2017 A new isoperimetric inequality for the elasticae. Zbl 1377.49047Bucur, Dorin; Henrot, Antoine 10 2017 Two optimization problems in thermal insulation. Zbl 1372.80002Bucur, Dorin; Buttazzo, Giuseppe; Nitsch, Carlo 9 2017 A free boundary approach to the Faber-Krahn inequality. Zbl 1390.35200Bucur, Dorin; Freitas, Pedro 1 2017 Shape optimization problems with Robin conditions on the free boundary. Zbl 1352.49045Bucur, Dorin; Giacomini, Alessandro 23 2016 A Faber-Krahn inequality for the Cheeger constant of \(N\)-gons. Zbl 1334.49129Bucur, Dorin; Fragalà, Ilaria 10 2016 Maximising Neumann eigenvalues on rectangles. Zbl 1358.35078van den Berg, M.; Bucur, D.; Gittins, K. 10 2016 The Robin-Laplacian problem on varying domains. Zbl 1379.35062Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola 4 2016 Blaschke-Santaló and Mahler inequalities for the first eigenvalue of the Dirichlet Laplacian. Zbl 1361.49019Bucur, Dorin; Fragalà, Ilaria 1 2016 Faber-Krahn inequalities for the Robin-Laplacian: a free discontinuity approach. Zbl 1458.35286Bucur, Dorin; Giacomini, Alessandro 29 2015 Lipschitz regularity of the eigenfunctions on optimal domains. Zbl 1319.49067Bucur, Dorin; Mazzoleni, Dario; Pratelli, Aldo; Velichkov, Bozhidar 20 2015 Multiphase shape optimization problems. Zbl 1312.49050Bucur, Dorin; Velichkov, Bozhidar 17 2015 The Saint-Venant inequality for the Laplace operator with Robin boundary conditions. Zbl 1334.35183Bucur, Dorin; Giacomini, Alessandro 6 2015 A surgery result for the spectrum of the Dirichlet Laplacian. Zbl 1331.49062Bucur, Dorin; Mazzoleni, Dario 5 2015 A free boundary approach to shape optimization problems. Zbl 1353.49052Bucur, D.; Velichkov, B. 1 2015 Monotonicity formula and regularity for general free discontinuity problems. Zbl 1283.49056Bucur, Dorin; Luckhaus, Stephan 22 2014 On the torsion function with Robin or Dirichlet boundary conditions. Zbl 1292.35141van den Berg, M.; Bucur, D. 12 2014 Lower bounds for the Prékopa-Leindler deficit by some distances modulo translations. Zbl 1326.26032Bucur, Dorin; Fragalà, Ilaria 10 2014 Spectral optimization problems for potentials and measures. Zbl 1301.49122Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar 9 2014 Asymptotic behaviour of optimal spectral planar domains with fixed perimeter. Zbl 1290.35164Bucur, Dorin; Freitas, Pedro 16 2013 Spectral optimization problems with internal constraint. Zbl 1287.49049Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar 6 2013 Microshape control, riblets, and drag minimization. Zbl 1426.76145Bonnivard, Matthieu; Bucur, Dorin 1 2013 Minimization of the \(k\)-th eigenvalue of the Dirichlet Laplacian. Zbl 1254.35165Bucur, Dorin 51 2012 Optimal convex shapes for concave functionals. Zbl 1253.49031Bucur, Dorin; Fragalà, Ilaria; Lamboley, Jimmy 9 2012 On the characterization of the compact embedding of Sobolev spaces. Zbl 1241.49023Bucur, Dorin; Buttazzo, Giuseppe 7 2012 The uniform rugosity effect. Zbl 1294.35088Bonnivard, Matthieu; Bucur, Dorin 6 2012 Wall laws for viscous fluids near rough surfaces. Zbl 1329.76052Bucur, Dorin; Dalibard, Anne-Laure; Gérard-Varet, David 3 2012 The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization. Zbl 1229.35156Bucur, Dorin; Gazzola, Filippo 19 2011 An alternative approach to the Faber-Krahn inequality for Robin problems. Zbl 1186.35118Bucur, Dorin; Daners, Daniel 38 2010 A variational approach to the isoperimetric inequality for the Robin eigenvalue problem. Zbl 1228.49049Bucur, Dorin; Giacomini, Alessandro 38 2010 Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions. Zbl 1273.76073Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka 31 2010 On the first eigenvalue of a fourth order Steklov problem. Zbl 1171.35089Bucur, Dorin; Ferrero, Alberto; Gazzola, Filippo 27 2009 Optimal partitions for eigenvalues. Zbl 1207.49050Bourdin, Blaise; Bucur, Dorin; Oudet, Édouard 25 2009 Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 16 2009 The incompressible limit of the full Navier-Stokes-Fourier system on domains with rough boundaries. Zbl 1162.76048Bucur, Dorin; Feireisl, Eduard 13 2009 How to choose interpolation data in images. Zbl 1190.94006Belhachmi, Zakaria; Bucur, Dorin; Burgeth, Bernhard; Weickert, Joachim 10 2009 On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries. Zbl 1143.35080Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka; Wolf, Joerg 46 2008 On the asymptotic limit of flows past a ribbed boundary. Zbl 1189.35219Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka 17 2008 Influence of wall roughness on the slip behaviour of viscous fluids. Zbl 1151.76004Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka 12 2008 Quasistatic evolution in debonding problems via capacitary methods. Zbl 1155.74030Bucur, Dorin; Buttazzo, Giuseppe; Lux, Anne 4 2008 Whitney property in two dimensional Sobolev spaces. Zbl 1151.46018Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola 3 2008 The eigenvalue problem with conductivity boundary conditions. Zbl 1181.35152Bucur, Dorin; Durus, Ioana; Oudet, Edouard 1 2008 Stability and uniqueness for the crack identification problem. Zbl 1136.35102Belhachmi, Zakaria; Bucur, Dorin 7 2007 Mini-workshop: Shape analysis for eigenvalues. Abstracts from the mini-workshop held April 8–14, 2007. Zbl 1177.49004 3 2007 Asymptotic analysis and scaling of friction parameters. Zbl 1106.35038Bucur, Dorin; Ionescu, Ioan R. 9 2006 Shape optimization problems for eigenvalues of elliptic operators. Zbl 1087.49032Belhachmi, Zakaria; Bucur, Dorin; Buttazzo, Giuseppe; Sac-Epée, Jean-Marc 7 2006 Characterization of the shape stability for nonlinear elliptic problems. Zbl 1245.35035Bucur, Dorin 5 2006 Finite element approximation of the Neumann eigenvalue problem in domains with multiple cracks. Zbl 1105.65110Belhachmi, Zakaria; Bucur, Dorin; Sac-Epee, Jean-Marc 1 2006 Variational methods in shape optimization problems. Zbl 1117.49001Bucur, Dorin; Buttazzo, Giuseppe 183 2005 How to prove existence in shape optimization. Zbl 1167.49325Bucur, Dorin 2 2005 Regularity of optimal convex shapes. Zbl 1057.49029Bucur, Dorin 11 2003 On the isoperimetric inequality for the buckling of a clamped plate. Zbl 1030.49043Ashbaugh, S.; Bucur, Dorin 9 2003 A new relaxation space for obstacles. Zbl 1038.49021Bucur, Dorin; Trebeschi, Paola 1 2003 A duality approach for the boundary variation of Neumann problems. Zbl 1055.35037Bucur, Dorin; Varchon, Nicolas 13 2002 Variational methods in some shape optimization problems. Zbl 1066.49026Bucur, Dorin; Buttazzo, Giuseppe 7 2002 On the problem of optimal cutting. Zbl 1028.49033Bucur, Dorin; Buttazzo, Giuseppe; Varchon, Nicolas 4 2002 Continuity of the elasticity system solutions with respect to the geometrical domain variations. Zbl 1001.74008Bucur, D.; Henrot, A.; Sokolowski, J.; Żochowski, A. 3 2001 Boundary variation for a Neumann problem. Zbl 1072.35063Bucur, Dorin; Varchon, Nicolas 19 2000 Minimization of the third eigenvalue of the Dirichlet Laplacian. Zbl 0974.35082Bucur, Dorin; Henrot, Antoine 18 2000 Uniform concentration-compactness for Sobolev spaces on variable domains. Zbl 0957.49027Bucur, Dorin 10 2000 Stability of the Neumann problem for variations of the boundary. (Stabilité de la solution d’un problème de Neumann pour des variations de frontière.) Zbl 0961.35030Bucur, Dorin; Varchon, Nicolas 5 2000 Global minimizing domains for the first eigenvalue of an elliptic operator with non-constant coefficients. Zbl 0958.49024Bucur, Dorin; Varchon, Nicolas 2 2000 Stability for the Dirichlet problem under continuous Steiner symmetrization. Zbl 0977.31007Bucur, Dorin; Henrot, Antoine 1 2000 On the attainable eigenvalues of the Laplace operator. Zbl 0920.35099Bucur, Dorin; Buttazzo, Giuseppe; Figueiredo, Isabel 13 1999 Characterization for the Kuratowski limits of a sequence of Sobolev spaces. Zbl 0924.46028Bucur, Dorin 6 1999 An existence result for optimal obstacles. Zbl 0920.49008Bucur, Dorin; Buttazzo, Giuseppe; Trebeschi, Paola 3 1999 Existence results for some optimal partition problems. Zbl 0915.49006Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 37 1998 Shape optimisation problems governed by nonlinear state equations. Zbl 0918.49030Bucur, Dorin; Trebeschi, Paola 23 1998 Spectrum stability of an elliptic operator to domain perturbations. Zbl 0919.49014Bucur, Dorin; Zolésio, Jean-Paul 4 1998 Concentration-compactness principle and \(\gamma\)-convergence. (Concentration-compacité et \(\gamma\)-convergence.) Zbl 0914.35039Bucur, Dorin 1 1998 Anatomy of the shape Hessian via Lie brackets. Zbl 0939.49023Bucur, Dorin; Zolésio, Jean-Paul 8 1997 Wiener’s criterion and shape continuity for the Dirichlet problem. Zbl 0891.35161Bucur, Dorin; Zolesio, Jean-Paul 2 1997 Stability of the spectrum of an elliptic operator with respect to the domain. (Stabilité du spectre d’un opérateur elliptique par rapport au domaine.) Zbl 0874.35076Bucur, Dorin; Zolésio, Jean-Paul 1 1997 Boundary optimization under pseudo curvature constraint. Zbl 0889.49026Bucur, Dorin; Zolésio, Jean-Paul 5 1996 Free boundary problems and density perimeter. Zbl 0856.35137Bucur, Dorin; Zolésio, Jean-Paul 5 1996 A characterization theorem for the \(\gamma\)-convergence. (Un théorème de caractérisation pour la \(\gamma\)-convergence.) Zbl 0859.35023Bucur, Dorin 3 1996 ...and 7 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 751 Authors 60 Bucur, Dorin 27 Buttazzo, Giuseppe 22 Velichkov, Bozhidar 20 Fragalà, Ilaria 16 Giacomini, Alessandro 13 Helffer, Bernard 13 Nitsch, Carlo 12 Henrot, Antoine 12 Terracini, Susanna 12 Trombetti, Cristina 12 van den Berg, Michiel 11 Freitas, Pedro 11 Mazzoleni, Dario 10 Bogoşel, Beniamin 10 Feireisl, Eduard 10 Laugesen, Richard Snyder 9 Antunes, Pedro Ricardo Simão 9 Bonnivard, Matthieu 9 Brasco, Lorenzo 9 Lamberti, Pier Domenico 9 Nečasová, Šárka 9 Suárez-Grau, Francisco Javier 8 Buoso, Davide 8 Girouard, Alexandre 8 Kennedy, James Bernard 8 Osting, Braxton 8 Paoli, Gloria 7 Gazzola, Filippo 7 Gérard-Varet, David 7 Lotoreichik, Vladimir 7 Oudet, Edouard 7 Privat, Yannick 7 Trebeschi, Paola 7 Zhu, Shengfeng 6 Casado-Díaz, Juan 6 Chiacchio, Francesco 6 Daners, Daniel 6 Ferone, Vincenzo 6 Gavitone, Nunzia 6 Kao, Chiu-Yen 6 Lemenant, Antoine 6 Varchon, Nicolas 6 Zuazua, Enrique 5 Amrouche, Chérif 5 Barkatou, Mohammed 5 Belhachmi, Zakaria 5 Garcke, Harald 5 Gittins, Katie 5 Lamboley, Jimmy 5 Nandakumaran, Akambadath Keerthiyil 5 Nazarov, Sergeĭ Aleksandrovich 5 Pankrashkin, Konstantin 5 Prakash, Ravi 5 Pratelli, Aldo 5 Ruffini, Berardo 5 Tavares, Hugo 5 Trani, Leonardo 5 Trélat, Emmanuel 5 Trey, Baptiste 4 Bouchitté, Guy 4 Briani, Luca 4 Chemetov, Nikolai V. 4 Cipriano, Fernanda 4 Dalibard, Anne-Laure 4 De Philippis, Guido 4 Della Pietra, Francesco 4 Felli, Veronica 4 Francfort, Gilles A. 4 Hecht, Claudia 4 Lagacé, Jean 4 Laurain, Antoine 4 Lin, Fang Hua 4 Lucardesi, Ilaria 4 Luna-Laynez, Manuel 4 Nahon, Mickaël 4 Piscitelli, Gianpaolo 4 Prinari, Francesca 4 Provenzano, Luigi 4 Russ, Emmanuel 4 Salani, Paolo 4 Seck, Diaraf 4 Sokołowski, Jan 4 Stebel, Jan 4 Stollenwerk, Kathrin 3 Alvino, Angelo 3 Arrieta, José M. 3 Bartels, Sören 3 Berchio, Elvise 3 Bi, Hai 3 Brandolini, Barbara 3 Bulanyi, Bohdan 3 Caffarelli, Luis Ángel 3 Caroccia, Marco 3 Chambolle, Antonin 3 Cito, Simone 3 Colbois, Bruno 3 Ferrero, Alberto 3 Gottschalk, Hanno 3 Hamel, François 3 Hoffmann-Ostenhof, Thomas ...and 651 more Authors all top 5 Cited in 186 Serials 42 Journal of Differential Equations 34 Calculus of Variations and Partial Differential Equations 26 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 19 Archive for Rational Mechanics and Analysis 17 The Journal of Geometric Analysis 17 Journal de Mathématiques Pures et Appliquées. 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Serie V ...and 86 more Serials all top 5 Cited in 43 Fields 494 Partial differential equations (35-XX) 290 Calculus of variations and optimal control; optimization (49-XX) 82 Numerical analysis (65-XX) 82 Fluid mechanics (76-XX) 76 Mechanics of deformable solids (74-XX) 55 Operator theory (47-XX) 48 Global analysis, analysis on manifolds (58-XX) 35 Convex and discrete geometry (52-XX) 28 Functional analysis (46-XX) 25 Real functions (26-XX) 23 Differential geometry (53-XX) 19 Measure and integration (28-XX) 19 Potential theory (31-XX) 17 Operations research, mathematical programming (90-XX) 17 Information and communication theory, circuits (94-XX) 14 Quantum theory (81-XX) 10 Biology and other natural sciences (92-XX) 10 Systems theory; control (93-XX) 9 Ordinary differential equations (34-XX) 9 Geometry (51-XX) 9 Probability theory and stochastic processes (60-XX) 9 Computer science (68-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 2 Number theory (11-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year