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Concerning Daniljuk's existence theorem for free boundary value problems with the Bernoulli condition

Author: Andrew Acker
Journal: Proc. Amer. Math. Soc. 80 (1980), 451-454
MSC: Primary 49B21; Secondary 35R35, 76B99
MathSciNet review: 581003
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Abstract: We show that a variational method proposed by Ī. Ī. Daniljuk for proving the existence of free boundaries satisfying the Bernoulli condition is not valid under the condition given by Daniljuk.

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Keywords: Free boundary-value problem, variational methods, ideal fluid, Bernoulli condition
Article copyright: © Copyright 1980 American Mathematical Society