On the Lipschitz continuity of the solutions of a class of elliptic free boundary problems

• Autorzy: Lyaghfouri A.
• Języki publikacji: EN

Abstrakty

EN

In this article we prove local interior and boundary Lipschitz continuity of the solutions of a general class of elliptic free boundary problems in divergence form.

Słowa kluczowe

EN

free boundary; Lipschitz continuity

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2008
• Tom: Vol. 14, nr 2
• Strony: 165--181
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Lyaghfouri A.

• Fields Institute,

Bibliografia

• [1] Alt, H. W., Strömungen durch inhomogene poröse Medien mit freiem Rand. J. Reine Angew. Math. 305 (1979), 89-115.
• [2] Challal, S., Lyaghfouri, A., On the continuity of the free boundary in problems of type div (wzór), Nonlinear Anal. 62 (2) (2005), 283-300.
• [3] Gilbarg, D., Trudinger, N. S., Elliptic Partial Differential Equations of Second Order, Springer-Verlag, 1983.
• [4] Lyaghfouri, A., The inhomogeneous dam problem with linear Darcy`s law and Dirichlet boundary conditions, Math. Models Methods Appl. Sci 8 (6) (1996), 1051-1077.