Some uniqueness results for Bernoulli interior free-boundary problems in convex domains

We establish the existence of a elliptic family of convex solutions for Bernoulli interior free-boundary problems in bounded convex domains. We also proved that there is a unique solution to the problem associated with the so-called Bernoulli constant, and give an estimate from above for this consta...

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Bibliographic Details
Main Authors: Pierre Cardaliaguet, Rabah Tahraoui
Format: Article
Language:English
Published: Texas State University 2002-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2002/102/abstr.html