A free boundary problem for the Laplacian with constant Bernoulli-type boundary condition - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2007

A free boundary problem for the Laplacian with constant Bernoulli-type boundary condition

Résumé

We study a free boundary problem for the Laplace operator, where we impose a Bernoulli-type boundary condition. We show that there exists a solution to this problem. We use A. Beurling's technique, by defining two classes of sub- and supersolutions and a Perron argument. We try to generalize here a previous work of A. Henrot and H. Shahgholian. We extend these results in different directions.
Fichier principal
Vignette du fichier
fbpLaplacian.pdf (162.81 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00128760 , version 1 (02-02-2007)

Identifiants

Citer

Erik Lindgren, Yannick Privat. A free boundary problem for the Laplacian with constant Bernoulli-type boundary condition. Nonlinear Analysis: Theory, Methods and Applications, 2007, 67 (8), pp.2497-2505. ⟨10.1016/j.na.2006.08.045⟩. ⟨hal-00128760⟩
341 Consultations
399 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More