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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…