Lipschitz continuity of state functions in some optimal shaping

By Tanguy Briançon, Mohammed Hayouni, Michel Pierre. 2005

60 citations recorded by the source corpus.

Subfields: Computational Mechanics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/667753e5a9b11297ea32381301d436e13c068ba7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Tanguy Brianccon
2. Bozhidar Velichkov
3. Dorin Bucur
4. Dario Mazzoleni
5. Jimmy Lamboley
6. Aldo Pratelli

In Materials Chemistry

1. Tanguy Brianccon
2. Dorin Bucur
3. Jimmy Lamboley

Citations in the corpus

• Minimization of the k-th eigenvalue of the Dirichlet Laplacian (2012, background): “In the literature, the regularity of the free boundaries is well understood only for energy like minimizers (see [1,2,8,11]).”
• Lipschitz Regularity of the Eigenfunctions on Optimal Domains (2013, methodology): “Moreover, the following result was proved in [6].”
• Regularity of the optimal shape for the first eigenvalue of the laplacian with volume and inclusion constraints (2008, methodology): “connected (we reproduce in the appendix the example mentioned in [4]).”