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Lemenant, Antoine
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1

Epsilon-Regularity for Griffith Almost-Minimizers in Any Di..:

Labourie, Camille ; Lemenant, Antoine
Archive for Rational Mechanics and Analysis.  247 (2023)  6 - p. , 2023
Link: https://doi.org/10.1007/..
 
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2

Regularity improvement for the minimizers of the two-dimens..:

Labourie, Camille ; Lemenant, Antoine
Rendiconti Lincei - Matematica e Applicazioni.  34 (2023)  2 - p. 337-357 , 2023
Link: https://doi.org/10.4171/..
 
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3

Partial regularity for the crack set minimizing the two-dim..:

Babadjian, Jean-François ; Iurlano, Flaviana ; Lemenant, Antoine
Journal of the European Mathematical Society.  24 (2021)  7 - p. 2443-2492 , 2021
Link: https://doi.org/10.4171/..
 
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4

Regularity for the planar optimalp-compliance problem:

Bulanyi, Bohdan ; Lemenant, Antoine
ESAIM: Control, Optimisation and Calculus of Variations.  27 (2021)  - p. 35 , 2021
Link: https://doi.org/10.1051/..
 
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5

Asymptotic limit of linear parabolic equations with spatio-..:

Àlvarez-Caudevilla, Pablo ; Bonnivard, Matthieu ; Lemenant, Antoine
ESAIM: Control, Optimisation and Calculus of Variations.  26 (2020)  - p. 50 , 2020
Link: https://doi.org/10.1051/..
 
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6

Stationarity of the crack-front for the Mumford–Shah proble..:

Lemenant, Antoine ; Mikayelyan, Hayk
Journal of Mathematical Analysis and Applications.  462 (2018)  2 - p. 1555-1569 , 2018
Link: https://doi.org/10.1016/..
 
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7

On a phase field approximation of the planar Steiner proble..:

Bonnivard, Matthieu ; Lemenant, Antoine ; Millot, Vincent
Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications.  20 (2018)  1 - p. 69-106 , 2018
Link: https://doi.org/10.4171/..
 
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8

On sets minimizing their weighted length in uniformly conve..:

De Pauw, Thierry ; Lemenant, Antoine ; Millot, Vincent
Advances in Mathematics.  305 (2017)  - p. 1268-1319 , 2017
Link: https://doi.org/10.1016/..
 
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9

Regularity for the Optimal Compliance Problem with Length P..:

Chambolle, Antonin ; Lamboley, Jimmy ; Lemenant, Antoine.
SIAM Journal on Mathematical Analysis.  49 (2017)  2 - p. 1166-1224 , 2017
Link: https://doi.org/10.1137/..
 
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10

A selective review on Mumford–Shah minimizers:

Lemenant, Antoine
Bollettino dell'Unione Matematica Italiana.  9 (2016)  1 - p. 69-113 , 2016
Link: https://doi.org/10.1007/..
 
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11

Phase Field Models for Thin Elastic Structures with Topolog..:

Dondl, Patrick W. ; Lemenant, Antoine ; Wojtowytsch, Stephan
Archive for Rational Mechanics and Analysis.  223 (2016)  2 - p. 693-736 , 2016
Link: https://doi.org/10.1007/..
 
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12

Approximation of Length Minimization Problems Among Compact..:

Bonnivard, Matthieu ; Lemenant, Antoine ; Santambrogio, Filippo
SIAM Journal on Mathematical Analysis.  47 (2015)  2 - p. 1489-1529 , 2015
Link: https://doi.org/10.1137/..
 
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13

A rigidity result for global Mumford–Shah minimizers in dim..:

Lemenant, Antoine
Journal de Mathématiques Pures et Appliquées.  103 (2015)  4 - p. 1003-1023 , 2015
Link: https://doi.org/10.1016/..
 
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14

A Modica–Mortola approximation for the Steiner Problem:

Lemenant, Antoine ; Santambrogio, Filippo
Comptes Rendus Mathematique.  352 (2014)  5 - p. 451-454 , 2014
Link: https://doi.org/10.1016/..
 
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15

Spectral stability estimates for the Dirichlet and Neumann ..:

Lemenant, Antoine ; Milakis, Emmanouil ; Spinolo, Laura V.
Journal of Functional Analysis.  264 (2013)  9 - p. 2097-2135 , 2013
Link: https://doi.org/10.1016/..
 
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