On a Free Boundary Problem for thep-Laplacian
نویسندگان
چکیده
منابع مشابه
A FREE-BOUNDARY PROBLEM FOR THE EVOLUTION p-LAPLACIAN EQUATION WITH A COMBUSTION BOUNDARY CONDITION
We study the existence, uniqueness and regularity of solutions of the equation ft = ∆pf = div (|Df | p−2 Df) under over-determined boundary conditions f = 0 and |Df | = 1. We show that if the initial data is concave and Lipschitz with a bounded and convex support, then the problem admits a unique solution which exists until it vanishes identically. Furthermore, the free-boundary of the support ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1998
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5755