We investigate an overdetermined Torsion problem, with a non-constant positively homogeneous boundary constraint on the gradient. We interpret this problem as the Euler equation of a shape optimization problem, we prove existence and regularity of a solution. Moreover several geometric properties of the solution are shown.

An overdetermined problem with non-constant boundary condition / Chiara Bianchini; Antoine Henrot; Paolo Salani. - In: INTERFACES AND FREE BOUNDARIES. - ISSN 1463-9963. - STAMPA. - 16:(2014), pp. 215-241. [10.4171/IFB/318]

An overdetermined problem with non-constant boundary condition

BIANCHINI, CHIARA;SALANI, PAOLO
2014

Abstract

We investigate an overdetermined Torsion problem, with a non-constant positively homogeneous boundary constraint on the gradient. We interpret this problem as the Euler equation of a shape optimization problem, we prove existence and regularity of a solution. Moreover several geometric properties of the solution are shown.
2014
16
215
241
Chiara Bianchini; Antoine Henrot; Paolo Salani
File in questo prodotto:
File Dimensione Formato  
2014-016-002-03.pdf

Accesso chiuso

Tipologia: Pdf editoriale (Version of record)
Licenza: DRM non definito
Dimensione 303.44 kB
Formato Adobe PDF
303.44 kB Adobe PDF   Richiedi una copia

I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/816696
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 12
  • ???jsp.display-item.citation.isi??? 13
social impact