Abstract

We show Euler equations fulfilled by strong minimizers of Blake and Zisserman functional. We prove an Almansi-type decomposition and provide explicit coefficients of asymptotic expansion for bi-harmonic functions in a disk with a cut from center to boundary. We deduce the stress intensity factor and modes coefficients of the leading term in the expansion around crack-tip for any locally minimizing triplet of the main part of Blake and Zisserman functional in the strong formulation. We exhibit explicitly a non-trivial candidate for minimality which has a crack-tip and fulfills all integral and geometric conditions of extremality.

Autore Pugliese

• Leaci Antonio , Carriero Michele

Tutti gli autori

• M. Carriero , A. Leaci , F. Tomarelli

Titolo volume/Rivista

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Anno di pubblicazione

2011

ISSN

0021-7824

ISBN

Non Disponibile

Numero di citazioni Wos

8

Ultimo Aggiornamento Citazioni

27/04/2018

Numero di citazioni Scopus

10

Ultimo Aggiornamento Citazioni

28/04/2018

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile