The simultaneous asymmetric perturbation method for overdetermined free boundary problems

In this paper, we introduce a new method for applying the implicit function theorem to find nontrivial solutions to overdetermined problems with a fixed boundary (given) and a free boundary (to be determined). The novelty of this method lies in the kind of perturbations considered. Indeed, we work w...

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Bibliographic Details

Published in:	Nonlinear analysis Vol. 215; p. 112685
Main Author:	Cavallina, Lorenzo
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.02.2022
Subjects:	Free boundary problem Implicit function theorem Overdetermined problem Shape derivatives Two-phase Two-phase 35N25 Shape derivatives Implicit function theorem 35J15 Overdetermined problem Free boundary problem 35Q93
ISSN:	0362-546X, 1873-5215
Online Access:	Get full text
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