Quantitative isoperimetric inequalities for classical capillarity problems

DOI10.1007/S00526-024-02828-ZzbMATH Open1548.49014MaRDI QIDQ6619975

Giulio Pascale, Marco Pozzetta

Publication date: 16 October 2024

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

sharp isoperimetric inequalitycapillarity perimeter

Mathematics Subject Classification ID

Variational inequalities (49J40) Variational problems in a geometric measure-theoretic setting (49Q20) Length, area, volume, other geometric measure theory (28A75) Optimization of shapes other than minimal surfaces (49Q10) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

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Hypersurfaces with capillary boundary evolving by volume preserving power mean curvature flow ⋮ Existence and nonexistence of minimizers for classical capillarity problems in presence of nonlocal repulsion and gravity

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