# zbMATH — the first resource for mathematics

## Bucur, Dorin

Compute Distance To:
 Author ID: bucur.dorin Published as: Bucur, D.; Bucur, Dorin
 Documents Indexed: 109 Publications since 1994, including 2 Books
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#### Co-Authors

 10 single-authored 16 Buttazzo, Giuseppe 15 Zolésio, Jean-Paul 13 Giacomini, Alessandro 12 Fragalà, Ilaria 8 Henrot, Antoine 7 Trebeschi, Paola 6 Velichkov, Bozhidar 5 Belhachmi, Zakaria 5 Feireisl, Eduard 5 Varchon, Nicolas 4 Nečasová, Šárka 3 Freitas, Pedro 3 Nitsch, Carlo 2 Bogoşel, Beniamin 2 Bonnivard, Matthieu 2 Ferone, Vincenzo 2 Gazzola, Filippo 2 Mazzoleni, Dario 2 Oudet, Edouard 2 Sac-Epee, Jean-Marc 2 Trombetti, Cristina 1 Ashbaugh, S. 1 Bourdin, Blaise 1 Burgeth, Bernhard F. 1 Chatelain, Thierry 1 Dalibard, Anne-Laure 1 Daners, Daniel 1 de Figueiredo, Isabel Maria Narra 1 Durus, Ioana 1 Ferrero, Alberto 1 Gérard-Varet, David 1 Ionescu, Ioan Romeo 1 Kennedy, James Bernard 1 Lamboley, Jimmy 1 Luckhaus, Stephan 1 Lux, Anne 1 Nahon, Mickaël 1 Pratelli, Aldo 1 Sokołowski, Jan 1 Stefanelli, Ulisse 1 Verzini, Gianmaria 1 Weickert, Joachim 1 Wolf, Jörg 1 Zochowski, Antoni
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#### Serials

 8 Journal of Differential Equations 7 Archive for Rational Mechanics and Analysis 5 SIAM Journal on Mathematical Analysis 5 Comptes Rendus de l’Académie des Sciences. Série I 5 Calculus of Variations and Partial Differential Equations 4 Journal of Convex Analysis 3 Journal of Functional Analysis 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 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 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Control and Cybernetics 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 SIAM Journal on Applied Mathematics 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 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Indiana University Mathematics Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Acta Applicandae Mathematicae 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 Notices of the American Mathematical Society 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 SIAM Journal on Optimization 1 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Electronic Journal of Differential Equations (EJDE) 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 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
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#### Fields

 68 Calculus of variations and optimal control; optimization (49-XX) 66 Partial differential equations (35-XX) 10 Operator theory (47-XX) 8 Fluid mechanics (76-XX) 7 Convex and discrete geometry (52-XX) 7 Numerical analysis (65-XX) 7 Mechanics of deformable solids (74-XX) 6 Geometry (51-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Real functions (26-XX) 5 Potential theory (31-XX) 5 Functional analysis (46-XX) 2 Measure and integration (28-XX) 2 Differential geometry (53-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 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH

87 Publications have been cited 843 times in 486 Documents Cited by Year
Variational methods in shape optimization problems. Zbl 1117.49001
Bucur, Dorin; Buttazzo, Giuseppe
2005
On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries. Zbl 1143.35080
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka; Wolf, Joerg
2008
Minimization of the $$k$$-th eigenvalue of the Dirichlet Laplacian. Zbl 1254.35165
Bucur, Dorin
2012
Existence results for some optimal partition problems. Zbl 0915.49006
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
1998
An alternative approach to the Faber-Krahn inequality for Robin problems. Zbl 1186.35118
Bucur, Dorin; Daners, Daniel
2010
$$N$$-dimensional shape optimization under capacitary constraint. Zbl 0847.49029
Bucur, Dorin; Zolesio, Jean Paul
1995
Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions. Zbl 1273.76073
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka
2010
A variational approach to the isoperimetric inequality for the Robin eigenvalue problem. Zbl 1228.49049
Bucur, Dorin; Giacomini, Alessandro
2010
Optimal partitions for eigenvalues. Zbl 1207.49050
Bourdin, Blaise; Bucur, Dorin; Oudet, Édouard
2009
On the first eigenvalue of a fourth order Steklov problem. Zbl 1171.35089
Bucur, Dorin; Ferrero, Alberto; Gazzola, Filippo
2009
Minimization of the third eigenvalue of the Dirichlet Laplacian. Zbl 0974.35082
Bucur, Dorin; Henrot, Antoine
2000
Shape optimisation problems governed by nonlinear state equations. Zbl 0918.49030
Bucur, Dorin; Trebeschi, Paola
1998
Faber-Krahn inequalities for the Robin-Laplacian: a free discontinuity approach. Zbl 06481057
Bucur, Dorin; Giacomini, Alessandro
2015
Asymptotic behaviour of optimal spectral planar domains with fixed perimeter. Zbl 1290.35164
Bucur, Dorin; Freitas, Pedro
2013
Minimization of $$\lambda_{2}(\Omega)$$ with a perimeter constraint. Zbl 1186.49032
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
2009
On the asymptotic limit of flows past a ribbed boundary. Zbl 1189.35219
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka
2008
Boundary variation for a Neumann problem. Zbl 1072.35063
Bucur, Dorin; Varchon, Nicolas
2000
Multiphase shape optimization problems. Zbl 1312.49050
Bucur, Dorin; Velichkov, Bozhidar
2015
Lipschitz regularity of the eigenfunctions on optimal domains. Zbl 1319.49067
Bucur, Dorin; Mazzoleni, Dario; Pratelli, Aldo; Velichkov, Bozhidar
2015
Monotonicity formula and regularity for general free discontinuity problems. Zbl 1283.49056
Bucur, Dorin; Luckhaus, Stephan
2014
A duality approach for the boundary variation of Neumann problems. Zbl 1055.35037
Bucur, Dorin; Varchon, Nicolas
2002
Shape optimization problems with Robin conditions on the free boundary. Zbl 1352.49045
Bucur, Dorin; Giacomini, Alessandro
2016
The incompressible limit of the full Navier-Stokes-Fourier system on domains with rough boundaries. Zbl 1162.76048
Bucur, Dorin; Feireisl, Eduard
2009
Influence of wall roughness on the slip behaviour of viscous fluids. Zbl 1151.76004
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka
2008
The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization. Zbl 1229.35156
Bucur, Dorin; Gazzola, Filippo
2011
Optimal shapes maximizing the Steklov eigenvalues. Zbl 1367.49037
Bogosel, Beniamin; Bucur, Dorin; Giacomini, Alessandro
2017
Spectral optimization problems for potentials and measures. Zbl 1301.49122
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar
2014
Asymptotic analysis and scaling of friction parameters. Zbl 1106.35038
Bucur, Dorin; Ionescu, Ioan R.
2006
Maximising Neumann eigenvalues on rectangles. Zbl 1358.35078
van den Berg, M.; Bucur, D.; Gittins, K.
2016
On the torsion function with Robin or Dirichlet boundary conditions. Zbl 1292.35141
van den Berg, M.; Bucur, D.
2014
How to choose interpolation data in images. Zbl 1190.94006
Belhachmi, Zakaria; Bucur, Dorin; Burgeth, Bernhard; Weickert, Joachim
2009
Regularity of optimal convex shapes. Zbl 1057.49029
Bucur, Dorin
2003
Uniform concentration-compactness for Sobolev spaces on variable domains. Zbl 0957.49027
Bucur, Dorin
2000
On the attainable eigenvalues of the Laplace operator. Zbl 0920.35099
Bucur, Dorin; Buttazzo, Giuseppe; Figueiredo, Isabel
1999
The quantitative Faber-Krahn inequality for the Robin Laplacian. Zbl 1387.35428
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
2018
A new isoperimetric inequality for the elasticae. Zbl 1377.49047
Bucur, Dorin; Henrot, Antoine
2017
The Robin problems. Zbl 1375.49053
Bucur, Dorin; Freitas, Pedro; Kennedy, James
2017
Lower bounds for the Prékopa-Leindler deficit by some distances modulo translations. Zbl 1326.26032
Bucur, Dorin; Fragalà, Ilaria
2014
On the characterization of the compact embedding of Sobolev spaces. Zbl 1241.49023
Bucur, Dorin; Buttazzo, Giuseppe
2012
Anatomy of the shape Hessian via Lie brackets. Zbl 0939.49023
Bucur, Dorin; Zolésio, Jean-Paul
1997
Spectral optimization problems with internal constraint. Zbl 1287.49049
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar
2013
The uniform rugosity effect. Zbl 1294.35088
Bonnivard, Matthieu; Bucur, Dorin
2012
Stability and uniqueness for the crack identification problem. Zbl 1136.35102
Belhachmi, Zakaria; Bucur, Dorin
2007
Variational methods in some shape optimization problems. Zbl 1066.49026
Bucur, Dorin; Buttazzo, Giuseppe
2002
Characterization for the Kuratowski limits of a sequence of Sobolev spaces. Zbl 0924.46028
Bucur, Dorin
1999
On the honeycomb conjecture for a class of minimal convex partitions. Zbl 1396.52024
Bucur, Dorin; Fragalà, Ilaria; Velichkov, Bozhidar; Verzini, Gianmaria
2018
Optimal convex shapes for concave functionals. Zbl 1253.49031
Bucur, Dorin; Fragalà, Ilaria; Lamboley, Jimmy
2012
Characterization of the shape stability for nonlinear elliptic problems. Zbl 1245.35035
Bucur, Dorin
2006
Spectrum stability of an elliptic operator to domain perturbations. Zbl 0919.49014
Bucur, Dorin; Zolésio, Jean-Paul
1998
Boundary optimization under pseudo curvature constraint. Zbl 0889.49026
Bucur, Dorin; Zolésio, Jean-Paul
1996
Free boundary problems and density perimeter. Zbl 0856.35137
Bucur, Dorin; Zolésio, Jean-Paul
1996
Continuity with respect to the domain in the Neumann problem. Zbl 0805.35010
Bucur, Dorin; Zolesio, Jean-Paul
1994
Quasistatic evolution in debonding problems via capacitary methods. Zbl 1155.74030
Bucur, Dorin; Buttazzo, Giuseppe; Lux, Anne
2008
Shape optimization problems for eigenvalues of elliptic operators. Zbl 1087.49032
Belhachmi, Zakaria; Bucur, Dorin; Buttazzo, Giuseppe; Sac-Epée, Jean-Marc
2006
On the isoperimetric inequality for the buckling of a clamped plate. Zbl 1030.49043
Ashbaugh, S.; Bucur, Dorin
2003
On the problem of optimal cutting. Zbl 1028.49033
Bucur, Dorin; Buttazzo, Giuseppe; Varchon, Nicolas
2002
$$L^\infty$$ bounds of Steklov eigenfunctions and spectrum stability under domain variation. Zbl 1450.35192
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola
2020
Minimization of the $$k$$-th eigenvalue of the Robin-Laplacian. Zbl 1429.49015
Bucur, Dorin; Giacomini, Alessandro
2019
Whitney property in two dimensional Sobolev spaces. Zbl 1151.46018
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola
2008
Mini-workshop: Shape analysis for eigenvalues. Abstracts from the mini-workshop held April 8–14, 2007. Zbl 1177.49004
Bucur, Dorin (ed.); Buttazzo, Giuseppe (ed.); Henrot, Antoine (ed.)
2007
Stability of the Neumann problem for variations of the boundary. Zbl 0961.35030
Bucur, Dorin; Varchon, Nicolas
2000
An existence result for optimal obstacles. Zbl 0920.49008
Bucur, Dorin; Buttazzo, Giuseppe; Trebeschi, Paola
1999
A characterization theorem for the $$\gamma$$-convergence. Zbl 0859.35023
Bucur, Dorin
1996
Shape optimisation under uniform capacity condition. Zbl 0806.35008
Bucur, Dorin; Zolesio, Jean-Paul
1994
On the honeycomb conjecture for Robin Laplacian eigenvalues. Zbl 1414.49044
Bucur, Dorin; Fragalà, Ilaria
2019
A Faber-Krahn inequality for the Cheeger constant of $$N$$-gons. Zbl 1334.49129
Bucur, Dorin; Fragalà, Ilaria
2016
A surgery result for the spectrum of the Dirichlet Laplacian. Zbl 1331.49062
Bucur, Dorin; Mazzoleni, Dario
2015
Wall laws for viscous fluids near rough surfaces. Zbl 1329.76052
Bucur, Dorin; Dalibard, Anne-Laure; Gérard-Varet, David
2012
How to prove existence in shape optimization. Zbl 1167.49325
Bucur, Dorin
2005
Wiener’s criterion and shape continuity for the Dirichlet problem. Zbl 0891.35161
Bucur, Dorin; Zolesio, Jean-Paul
1997
Shape analysis for nonsmooth elliptic operators. Zbl 0874.49035
Bucur, D.
1996
Shape continuity for Dirichlet-Neumann problems. Zbl 0854.35011
Bucur, D.; Zolesio, J.-P.
1996
Shape optimization for elliptic problems under Neumann boundary conditions. Zbl 0900.35043
Bucur, Dorin; Zolesio, Jean-Paul
1994
Phase field approach to optimal packing problems and related Cheeger clusters. Zbl 1433.49057
Bogosel, Beniamin; Bucur, Dorin; Fragalà, Ilaria
2020
A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter. Zbl 1427.35163
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
2019
Maximization of the second non-trivial Neumann eigenvalue. Zbl 1423.35271
Bucur, Dorin; Henrot, Antoine
2019
A free boundary approach to the Faber-Krahn inequality. Zbl 1390.35200
Bucur, Dorin; Freitas, Pedro
2017
The Robin-Laplacian problem on varying domains. Zbl 1379.35062
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola
2016
The Saint-Venant inequality for the Laplace operator with Robin boundary conditions. Zbl 1334.35183
Bucur, Dorin; Giacomini, Alessandro
2015
Microshape control, riblets, and drag minimization. Zbl 1426.76145
Bonnivard, Matthieu; Bucur, Dorin
2013
The eigenvalue problem with conductivity boundary conditions. Zbl 1181.35152
Bucur, Dorin; Durus, Ioana; Oudet, Edouard
2008
A new relaxation space for obstacles. Zbl 1038.49021
Bucur, Dorin; Trebeschi, Paola
2003
Continuity of the elasticity system solutions with respect to the geometrical domain variations. Zbl 1001.74008
Bucur, D.; Henrot, A.; Sokolowski, J.; Żochowski, A.
2001
Global minimizing domains for the first eigenvalue of an elliptic operator with non-constant coefficients. Zbl 0958.49024
Bucur, Dorin; Varchon, Nicolas
2000
Concentration-compactness principle and $$\gamma$$-convergence. Zbl 0914.35039
Bucur, Dorin
1998
Stability of the spectrum of an elliptic operator with respect to the domain. Zbl 0874.35076
Bucur, Dorin; Zolésio, Jean-Paul
1997
Flat cone condition and shape analysis. Zbl 0830.49026
Bucur, D.; Zolésio, J. P.
1994
$$L^\infty$$ bounds of Steklov eigenfunctions and spectrum stability under domain variation. Zbl 1450.35192
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola
2020
Phase field approach to optimal packing problems and related Cheeger clusters. Zbl 1433.49057
Bogosel, Beniamin; Bucur, Dorin; Fragalà, Ilaria
2020
Minimization of the $$k$$-th eigenvalue of the Robin-Laplacian. Zbl 1429.49015
Bucur, Dorin; Giacomini, Alessandro
2019
On the honeycomb conjecture for Robin Laplacian eigenvalues. Zbl 1414.49044
Bucur, Dorin; Fragalà, Ilaria
2019
A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter. Zbl 1427.35163
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
2019
Maximization of the second non-trivial Neumann eigenvalue. Zbl 1423.35271
Bucur, Dorin; Henrot, Antoine
2019
The quantitative Faber-Krahn inequality for the Robin Laplacian. Zbl 1387.35428
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
2018
On the honeycomb conjecture for a class of minimal convex partitions. Zbl 1396.52024
Bucur, Dorin; Fragalà, Ilaria; Velichkov, Bozhidar; Verzini, Gianmaria
2018
Optimal shapes maximizing the Steklov eigenvalues. Zbl 1367.49037
Bogosel, Beniamin; Bucur, Dorin; Giacomini, Alessandro
2017
A new isoperimetric inequality for the elasticae. Zbl 1377.49047
Bucur, Dorin; Henrot, Antoine
2017
The Robin problems. Zbl 1375.49053
Bucur, Dorin; Freitas, Pedro; Kennedy, James
2017
A free boundary approach to the Faber-Krahn inequality. Zbl 1390.35200
Bucur, Dorin; Freitas, Pedro
2017
Shape optimization problems with Robin conditions on the free boundary. Zbl 1352.49045
Bucur, Dorin; Giacomini, Alessandro
2016
Maximising Neumann eigenvalues on rectangles. Zbl 1358.35078
van den Berg, M.; Bucur, D.; Gittins, K.
2016
A Faber-Krahn inequality for the Cheeger constant of $$N$$-gons. Zbl 1334.49129
Bucur, Dorin; Fragalà, Ilaria
2016
The Robin-Laplacian problem on varying domains. Zbl 1379.35062
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola
2016
Faber-Krahn inequalities for the Robin-Laplacian: a free discontinuity approach. Zbl 06481057
Bucur, Dorin; Giacomini, Alessandro
2015
Multiphase shape optimization problems. Zbl 1312.49050
Bucur, Dorin; Velichkov, Bozhidar
2015
Lipschitz regularity of the eigenfunctions on optimal domains. Zbl 1319.49067
Bucur, Dorin; Mazzoleni, Dario; Pratelli, Aldo; Velichkov, Bozhidar
2015
A surgery result for the spectrum of the Dirichlet Laplacian. Zbl 1331.49062
Bucur, Dorin; Mazzoleni, Dario
2015
The Saint-Venant inequality for the Laplace operator with Robin boundary conditions. Zbl 1334.35183
Bucur, Dorin; Giacomini, Alessandro
2015
Monotonicity formula and regularity for general free discontinuity problems. Zbl 1283.49056
Bucur, Dorin; Luckhaus, Stephan
2014
Spectral optimization problems for potentials and measures. Zbl 1301.49122
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar
2014
On the torsion function with Robin or Dirichlet boundary conditions. Zbl 1292.35141
van den Berg, M.; Bucur, D.
2014
Lower bounds for the Prékopa-Leindler deficit by some distances modulo translations. Zbl 1326.26032
Bucur, Dorin; Fragalà, Ilaria
2014
Asymptotic behaviour of optimal spectral planar domains with fixed perimeter. Zbl 1290.35164
Bucur, Dorin; Freitas, Pedro
2013
Spectral optimization problems with internal constraint. Zbl 1287.49049
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar
2013
Microshape control, riblets, and drag minimization. Zbl 1426.76145
Bonnivard, Matthieu; Bucur, Dorin
2013
Minimization of the $$k$$-th eigenvalue of the Dirichlet Laplacian. Zbl 1254.35165
Bucur, Dorin
2012
On the characterization of the compact embedding of Sobolev spaces. Zbl 1241.49023
Bucur, Dorin; Buttazzo, Giuseppe
2012
The uniform rugosity effect. Zbl 1294.35088
Bonnivard, Matthieu; Bucur, Dorin
2012
Optimal convex shapes for concave functionals. Zbl 1253.49031
Bucur, Dorin; Fragalà, Ilaria; Lamboley, Jimmy
2012
Wall laws for viscous fluids near rough surfaces. Zbl 1329.76052
Bucur, Dorin; Dalibard, Anne-Laure; Gérard-Varet, David
2012
The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization. Zbl 1229.35156
Bucur, Dorin; Gazzola, Filippo
2011
An alternative approach to the Faber-Krahn inequality for Robin problems. Zbl 1186.35118
Bucur, Dorin; Daners, Daniel
2010
Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions. Zbl 1273.76073
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka
2010
A variational approach to the isoperimetric inequality for the Robin eigenvalue problem. Zbl 1228.49049
Bucur, Dorin; Giacomini, Alessandro
2010
Optimal partitions for eigenvalues. Zbl 1207.49050
Bourdin, Blaise; Bucur, Dorin; Oudet, Édouard
2009
On the first eigenvalue of a fourth order Steklov problem. Zbl 1171.35089
Bucur, Dorin; Ferrero, Alberto; Gazzola, Filippo
2009
Minimization of $$\lambda_{2}(\Omega)$$ with a perimeter constraint. Zbl 1186.49032
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
2009
The incompressible limit of the full Navier-Stokes-Fourier system on domains with rough boundaries. Zbl 1162.76048
Bucur, Dorin; Feireisl, Eduard
2009
How to choose interpolation data in images. Zbl 1190.94006
Belhachmi, Zakaria; Bucur, Dorin; Burgeth, Bernhard; Weickert, Joachim
2009
On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries. Zbl 1143.35080
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka; Wolf, Joerg
2008
On the asymptotic limit of flows past a ribbed boundary. Zbl 1189.35219
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka
2008
Influence of wall roughness on the slip behaviour of viscous fluids. Zbl 1151.76004
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka
2008
Quasistatic evolution in debonding problems via capacitary methods. Zbl 1155.74030
Bucur, Dorin; Buttazzo, Giuseppe; Lux, Anne
2008
Whitney property in two dimensional Sobolev spaces. Zbl 1151.46018
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola
2008
The eigenvalue problem with conductivity boundary conditions. Zbl 1181.35152
Bucur, Dorin; Durus, Ioana; Oudet, Edouard
2008
Stability and uniqueness for the crack identification problem. Zbl 1136.35102
Belhachmi, Zakaria; Bucur, Dorin
2007
Mini-workshop: Shape analysis for eigenvalues. Abstracts from the mini-workshop held April 8–14, 2007. Zbl 1177.49004
Bucur, Dorin (ed.); Buttazzo, Giuseppe (ed.); Henrot, Antoine (ed.)
2007
Asymptotic analysis and scaling of friction parameters. Zbl 1106.35038
Bucur, Dorin; Ionescu, Ioan R.
2006
Characterization of the shape stability for nonlinear elliptic problems. Zbl 1245.35035
Bucur, Dorin
2006
Shape optimization problems for eigenvalues of elliptic operators. Zbl 1087.49032
Belhachmi, Zakaria; Bucur, Dorin; Buttazzo, Giuseppe; Sac-Epée, Jean-Marc
2006
Variational methods in shape optimization problems. Zbl 1117.49001
Bucur, Dorin; Buttazzo, Giuseppe
2005
How to prove existence in shape optimization. Zbl 1167.49325
Bucur, Dorin
2005
Regularity of optimal convex shapes. Zbl 1057.49029
Bucur, Dorin
2003
On the isoperimetric inequality for the buckling of a clamped plate. Zbl 1030.49043
Ashbaugh, S.; Bucur, Dorin
2003
A new relaxation space for obstacles. Zbl 1038.49021
Bucur, Dorin; Trebeschi, Paola
2003
A duality approach for the boundary variation of Neumann problems. Zbl 1055.35037
Bucur, Dorin; Varchon, Nicolas
2002
Variational methods in some shape optimization problems. Zbl 1066.49026
Bucur, Dorin; Buttazzo, Giuseppe
2002
On the problem of optimal cutting. Zbl 1028.49033
Bucur, Dorin; Buttazzo, Giuseppe; Varchon, Nicolas
2002
Continuity of the elasticity system solutions with respect to the geometrical domain variations. Zbl 1001.74008
Bucur, D.; Henrot, A.; Sokolowski, J.; Żochowski, A.
2001
Minimization of the third eigenvalue of the Dirichlet Laplacian. Zbl 0974.35082
Bucur, Dorin; Henrot, Antoine
2000
Boundary variation for a Neumann problem. Zbl 1072.35063
Bucur, Dorin; Varchon, Nicolas
2000
Uniform concentration-compactness for Sobolev spaces on variable domains. Zbl 0957.49027
Bucur, Dorin
2000
Stability of the Neumann problem for variations of the boundary. Zbl 0961.35030
Bucur, Dorin; Varchon, Nicolas
2000
Global minimizing domains for the first eigenvalue of an elliptic operator with non-constant coefficients. Zbl 0958.49024
Bucur, Dorin; Varchon, Nicolas
2000
On the attainable eigenvalues of the Laplace operator. Zbl 0920.35099
Bucur, Dorin; Buttazzo, Giuseppe; Figueiredo, Isabel
1999
Characterization for the Kuratowski limits of a sequence of Sobolev spaces. Zbl 0924.46028
Bucur, Dorin
1999
An existence result for optimal obstacles. Zbl 0920.49008
Bucur, Dorin; Buttazzo, Giuseppe; Trebeschi, Paola
1999
Existence results for some optimal partition problems. Zbl 0915.49006
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
1998
Shape optimisation problems governed by nonlinear state equations. Zbl 0918.49030
Bucur, Dorin; Trebeschi, Paola
1998
Spectrum stability of an elliptic operator to domain perturbations. Zbl 0919.49014
Bucur, Dorin; Zolésio, Jean-Paul
1998
Concentration-compactness principle and $$\gamma$$-convergence. Zbl 0914.35039
Bucur, Dorin
1998
Anatomy of the shape Hessian via Lie brackets. Zbl 0939.49023
Bucur, Dorin; Zolésio, Jean-Paul
1997
Wiener’s criterion and shape continuity for the Dirichlet problem. Zbl 0891.35161
Bucur, Dorin; Zolesio, Jean-Paul
1997
Stability of the spectrum of an elliptic operator with respect to the domain. Zbl 0874.35076
Bucur, Dorin; Zolésio, Jean-Paul
1997
Boundary optimization under pseudo curvature constraint. Zbl 0889.49026
Bucur, Dorin; Zolésio, Jean-Paul
1996
Free boundary problems and density perimeter. Zbl 0856.35137
Bucur, Dorin; Zolésio, Jean-Paul
1996
A characterization theorem for the $$\gamma$$-convergence. Zbl 0859.35023
Bucur, Dorin
1996
Shape analysis for nonsmooth elliptic operators. Zbl 0874.49035
Bucur, D.
1996
Shape continuity for Dirichlet-Neumann problems. Zbl 0854.35011
Bucur, D.; Zolesio, J.-P.
1996
$$N$$-dimensional shape optimization under capacitary constraint. Zbl 0847.49029
Bucur, Dorin; Zolesio, Jean Paul
1995
Continuity with respect to the domain in the Neumann problem. Zbl 0805.35010
Bucur, Dorin; Zolesio, Jean-Paul
1994
Shape optimisation under uniform capacity condition. Zbl 0806.35008
Bucur, Dorin; Zolesio, Jean-Paul
1994
Shape optimization for elliptic problems under Neumann boundary conditions. Zbl 0900.35043
Bucur, Dorin; Zolesio, Jean-Paul
1994
Flat cone condition and shape analysis. Zbl 0830.49026
Bucur, D.; Zolésio, J. P.
1994
all top 5

#### Cited by 561 Authors

 49 Bucur, Dorin 19 Buttazzo, Giuseppe 18 Velichkov, Bozhidar 14 Fragalà, Ilaria 13 Giacomini, Alessandro 10 Feireisl, Eduard 10 Freitas, Pedro 10 Terracini, Susanna 9 Helffer, Bernard 9 Henrot, Antoine 8 Bogoşel, Beniamin 8 Suárez-Grau, Francisco Javier 8 van den Berg, Michiel 7 Antunes, Pedro Ricardo Simão 7 Bonnivard, Matthieu 7 Brasco, Lorenzo 7 Buoso, Davide 7 Gazzola, Filippo 7 Gérard-Varet, David 7 Mazzoleni, Dario 7 Nečasová, Šárka 7 Nitsch, Carlo 7 Trebeschi, Paola 6 Daners, Daniel 6 Lamberti, Pier Domenico 6 Osting, Braxton 6 Privat, Yannick 6 Trombetti, Cristina 6 Varchon, Nicolas 6 Zuazua, Enrique 5 Casado-Díaz, Juan 5 Ferone, Vincenzo 5 Kao, Chiu-Yen 5 Laugesen, Richard Snyder 5 Lemenant, Antoine 5 Nandakumaran, Akambadath Keerthiyil 5 Nazarov, Sergeĭ Aleksandrovich 5 Oudet, Edouard 5 Prakash, Ravi 5 Trélat, Emmanuel 4 Amrouche, Chérif 4 Barkatou, Mohammed 4 Belhachmi, Zakaria 4 Bouchitté, Guy 4 Chemetov, Nikolai V. 4 Cipriano, Fernanda 4 Felli, Veronica 4 Francfort, Gilles A. 4 Garcke, Harald 4 Girouard, Alexandre 4 Gittins, Katie 4 Hecht, Claudia 4 Luna-Laynez, Manuel 4 Pankrashkin, Konstantin 4 Russ, Emmanuel 4 Salani, Paolo 4 Sokołowski, Jan 4 Stebel, Jan 4 Tavares, Hugo 4 Trani, Leonardo 4 Zhu, Shengfeng 3 Arrieta, José M. 3 Berchio, Elvise 3 Brandolini, Barbara 3 Bucur, Danut 3 Caffarelli, Luis Ángel 3 Chambolle, Antonin 3 Dalibard, Anne-Laure 3 De Philippis, Guido 3 Franzina, Giovanni 3 Gavitone, Nunzia 3 Hamel, François 3 Ionescu, Ioan Romeo 3 Kennedy, James Bernard 3 Korobkov, Mikhail V. 3 Kovařík, Hynek 3 Lamboley, Jimmy 3 Laurain, Antoine 3 Lin, Fang Hua 3 Lucardesi, Ilaria 3 Ly, Idrissa 3 Maddalena, Francesco 3 Nadirashvili, Nikolai S. 3 Paoli, Gloria 3 Pérez, Eugenia 3 Pierre, Michel 3 Plakhov, A. Yu 3 Pratelli, Aldo 3 Raymond, Jean-Pierre 3 Ruffini, Berardo 3 Seck, Diaraf 3 Toader, Rodica 3 Verzini, Gianmaria 3 Wagner, Alfred 3 Yang, Donghui 3 Yang, Yidu 3 Zolésio, Jean-Paul 2 Abatangelo, Laura 2 Al Baba, Hind 2 Alhejaili, Weaam ...and 461 more Authors
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#### Cited in 161 Serials

 37 Journal of Differential Equations 22 Calculus of Variations and Partial Differential Equations 15 Archive for Rational Mechanics and Analysis 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 SIAM Journal on Mathematical Analysis 10 Applied Mathematics and Optimization 10 Journal of Optimization Theory and Applications 9 Journal of Functional Analysis 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Mathematical Methods in the Applied Sciences 8 SIAM Journal on Control and Optimization 8 Milan Journal of Mathematics 7 Journal of Mathematical Analysis and Applications 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 The Journal of Geometric Analysis 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Journal of Mathematical Fluid Mechanics 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Proceedings of the American Mathematical Society 5 Journal of Scientific Computing 5 Potential Analysis 5 Communications on Pure and Applied Analysis 4 Applicable Analysis 4 Advances in Mathematics 4 Manuscripta Mathematica 4 Communications in Partial Differential Equations 4 Journal of Mathematical Imaging and Vision 4 Journal of Convex Analysis 4 Nonlinear Analysis. Real World Applications 3 Computers & Mathematics with Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Mathematical Physics 3 Integral Equations and Operator Theory 3 Journal of Computational and Applied Mathematics 3 Mathematische Annalen 3 Numerical Functional Analysis and Optimization 3 Transactions of the American Mathematical Society 3 Annals of Global Analysis and Geometry 3 Applications of Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Nonlinear Science 3 Continuum Mechanics and Thermodynamics 3 SIAM Journal on Scientific Computing 3 Journal of the European Mathematical Society (JEMS) 3 Communications in Contemporary Mathematics 3 Journal of Evolution Equations 3 SIAM Journal on Imaging Sciences 3 Science China. Mathematics 3 Journal de l’École Polytechnique – Mathématiques 3 Séminaire Laurent Schwartz. EDP et Applications 2 Communications in Mathematical Physics 2 Journal of Computational Physics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 BIT 2 Bulletin of the London Mathematical Society 2 Canadian Journal of Mathematics 2 Mathematika 2 Ricerche di Matematica 2 Numerical Methods for Partial Differential Equations 2 Journal of Elasticity 2 St. Petersburg Mathematical Journal 2 NoDEA. Nonlinear Differential Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 The Journal of Fourier Analysis and Applications 2 Mathematical Problems in Engineering 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Revista Matemática Complutense 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Interfaces and Free Boundaries 2 Discrete and Continuous Dynamical Systems. Series B 2 Central European Journal of Mathematics 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Inverse Problems and Imaging 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Spectral Theory 2 Annales Mathématiques du Québec 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal of Engineering Science 1 International Journal of Solids and Structures 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Moscow University Mathematics Bulletin 1 Nonlinearity 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Numerische Mathematik ...and 61 more Serials
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#### Cited in 41 Fields

 341 Partial differential equations (35-XX) 213 Calculus of variations and optimal control; optimization (49-XX) 67 Fluid mechanics (76-XX) 59 Numerical analysis (65-XX) 57 Mechanics of deformable solids (74-XX) 42 Operator theory (47-XX) 35 Global analysis, analysis on manifolds (58-XX) 24 Functional analysis (46-XX) 18 Convex and discrete geometry (52-XX) 17 Real functions (26-XX) 16 Potential theory (31-XX) 12 Information and communication theory, circuits (94-XX) 11 Differential geometry (53-XX) 10 Operations research, mathematical programming (90-XX) 10 Systems theory; control (93-XX) 9 Measure and integration (28-XX) 8 Geometry (51-XX) 7 Probability theory and stochastic processes (60-XX) 7 Biology and other natural sciences (92-XX) 6 Computer science (68-XX) 5 Quantum theory (81-XX) 4 Number theory (11-XX) 4 Ordinary differential equations (34-XX) 4 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Optics, electromagnetic theory (78-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)