On the first eigenvalue of a fourth order Steklov problem

Dorin Bucur; Alberto Ferrero; Filippo Gazzola

doi:10.1007/s00526-008-0199-9

On the first eigenvalue of a fourth order Steklov problem

Dorin Bucur, Alberto Ferrero, Filippo Gazzola

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

We prove some results about the first Steklov eigenvalue d ₁ of the biharmonic operator in bounded domains. Firstly, we show that Fichera's principle of duality (Fichera in Atti Accad Naz Lincei 19:411-418, 1955) may be extended to a wide class of nonsmooth domains. Next, we study the optimization of d ₁ for varying domains: we disprove a long-standing conjecture, we show some new and unexpected features and we suggest some challenging problems. Finally, we prove several properties of the ball.

Lingua originale	Inglese
pagine (da-a)	103-131
Numero di pagine	29
Rivista	Calculus of Variations and Partial Differential Equations
Volume	35
Numero di pubblicazione	1
DOI	https://doi.org/10.1007/s00526-008-0199-9
Stato di pubblicazione	Pubblicato - mag 2009
Pubblicato esternamente	Sì

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10.1007/s00526-008-0199-9

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On the first eigenvalue of a fourth order Steklov problem

Abstract

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