| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 844494 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 9 Pages |
Abstract
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 super-solutions 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.
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Authors
Erik Lindgren, Yannick Privat,