Capillarity functionals are parameter invariant functionals defined on classes of two-dimensional parametric surfaces in R3 as the sum of the area integral and a non homogeneous term of suitable form. Here we consider the case of a class of non homogenous terms vanishing at infinity for which the corresponding capillarity functional has no volume-constrained S2-type minimal surface. Using variational techniques, we prove existence of extremals characterized as saddle-type critical points.
Existence of isovolumetric S2-type stationary surfaces for capillarity functionals
Caldiroli P.;IACOPETTI, ALESSANDRO
2018-01-01
Abstract
Capillarity functionals are parameter invariant functionals defined on classes of two-dimensional parametric surfaces in R3 as the sum of the area integral and a non homogeneous term of suitable form. Here we consider the case of a class of non homogenous terms vanishing at infinity for which the corresponding capillarity functional has no volume-constrained S2-type minimal surface. Using variational techniques, we prove existence of extremals characterized as saddle-type critical points.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
Caldiroli-Iacopetti-2017-final.pdf
Accesso aperto
Descrizione: Articolo principale
Tipo di file:
POSTPRINT (VERSIONE FINALE DELL’AUTORE)
Dimensione
453.1 kB
Formato
Adobe PDF
|
453.1 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.