Some Uniqueness Results for Bernoulli Interior Free-boundary Problems in Convex Domains
Date
2002-12-10
Authors
Cardaliaguet, Pierre
Tahraoui, Rabah
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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 constant.
Description
Keywords
Bernoulli free-boundary problem, Convex solutions, Borell's inequality
Citation
Cardaliaguet, P., & Tahraoui, R. (2002). Some uniqueness results for Bernoulli interior free-boundary problems in convex domains. <i>Electronic Journal of Differential Equations, 2002</i>(102), pp. 1-16.
Rights
Attribution 4.0 International