Abstract
AbstractThe free boundary problems are a special type of boundary value problems, in which the domain, where the PDE is solved, depends on the solution of the boundary value problem.
Publisher
Springer International Publishing
Reference36 articles.
1. N. Aguilera, H.W. Alt, L.A. Caffarelli. An optimization problem with volume constraint. SIAM J. Control Optim. 24(2), 191–198 (1986)
2. H.W. Alt, L.A. Caffarelli, Existence and regularity for a minimum problem with free boundary. J. Reine Angew. Math. 325, 105–144 (1981)
3. H.W. Alt, L.A. Caffarelli, A. Friedman, Variational problems with two phases and their free boundaries. Trans. Amer. Math. Soc. 282(2), 431–461 (1984)
4. T. Briançon, Regularity of optimal shapes for the Dirichlet’s energy with volume constraint. ESAIM, Control Optim. Calc. Var. 10, 99–122 (2004)
5. T. Briançon, J. Lamboley, Regularity of the optimal shape for the first eigenvalue of the Laplacian with volume and inclusion constraints. Ann. Inst. H. Poincaré Anal. Non Linéaire 26(4), 1149–1163 (2009)