On an isoperimetric inequality and various methods for the Bernoulli’s free boundary problems

Author:

Seck Diaraf

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Statistics, Probability and Uncertainty,General Mathematics

Reference32 articles.

1. Acker, A.: Uniqueness and monotonicity of solution for the interior Bernoulli’s free boundary problem in the convex n-dimensional case. Nonlinear Anal. Methods Appl. 13(12), 1409–1425 (1989)

2. Alexandrov, A.D.: A characteristic property of the spheres. Ann. Mat. Pura Appl. 58, 303–354 (1962)

3. Acker, A., Meyer, R.A.: Free boundary problem for the $$p$$ p -Laplacian: uniqueness, convexity, and successive approximation of solutions ejde. 8(1995), 1–20 (1995). Published June 21, 1995

4. Alt, H.W., Caffarelli, L.A.: Existence and regularity for a minimum problem with free boundary. J. Reine Angew. Math. 325, 105–144 (1981)

5. Badahi, O.M., Ly, I., Seck, D.: Analysis of stability of the exterior and interior Bernoulli’s free boundary problems (preprint)

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