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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Vydané v:	Nonlinear analysis Ročník 215; s. 112685
Hlavný autor:	Cavallina, Lorenzo
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Ltd 01.02.2022
Predmet:	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
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