Existence of isovolumetric -type stationary surfaces for capillarity functionals
Paolo Caldiroli
Università degli Studi di Torino, ItalyAlessandro Iacopetti
Università degli Studi di Torino, Italy
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Abstract
Capillarity functionals are parameter invariant functionals defined on classes of two-dimensional parametric surfaces in 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 -type minimal surface. Using variational techniques, we prove existence of extremals characterized as saddle-type critical points.
Cite this article
Paolo Caldiroli, Alessandro Iacopetti, Existence of isovolumetric -type stationary surfaces for capillarity functionals. Rev. Mat. Iberoam. 34 (2018), no. 4, pp. 1685–1709
DOI 10.4171/RMI/1040