Existence of isovolumetric S2 -type stationary surfaces for capillarity functionals

Paolo Caldiroli ^[1] ; Alessandro Iacopetti ^[1]
1. [1] University of Turin
  
  University of Turin
  
  Torino, Italia
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 4, 2018, págs. 1685-1709
Idioma: inglés
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Resumen
- Capillarity functionals are parameter invariant functionals defined on classes of two-dimensional parametric surfaces in R 3 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 S 2 ype minimal surface. Using variational techniques, we prove existence of extremals characterized as saddle-type critical points.