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 | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1980-0581003-0

Keywords:
Free boundary-value problem,
variational methods,
ideal fluid,
Bernoulli condition

Article copyright:
© Copyright 1980
American Mathematical Society