3 papers
math.DG2025
Quantitative isoperimetric inequalities in capillarity problems and cones in strong and barycentric forms
Davide Carazzato, Giulio Pascale, Marco Pozzetta
We study quantitative isoperimetric inequalities for two different perimeter-type functionals. We first consider classical capillarity functionals, which measure the perimeter of s…
math.AP2024
Existence and nonexistence of minimizers for classical capillarity problems in presence of nonlocal repulsion and gravity
Giulio Pascale
We investigate, under a volume constraint and among sets contained in a Euclidean half-space, the minimization problem of an energy functional given by the sum of a capillarity per…
math.AP2024
Quantitative isoperimetric inequalities for classical capillarity problems
Giulio Pascale, Marco Pozzetta
We consider capillarity functionals which measure the perimeter of sets contained in a Euclidean half-space assigning a constant weight to the portion of the boundar…