We prove a density lower bound for some functionals involving bulk and interfacial energies. The bulk energies are convex functions with p-power growth not subjected to any further structure conditions. The interface (Formula presented.) is the boundary of a set (Formula presented.) such that (Formula presented.) is prescribed. Then we get (Formula presented.).

Density lower bound estimate for local minimizer of free interface problem with volume constraint

ESPOSITO, Luca
2019

Abstract

We prove a density lower bound for some functionals involving bulk and interfacial energies. The bulk energies are convex functions with p-power growth not subjected to any further structure conditions. The interface (Formula presented.) is the boundary of a set (Formula presented.) such that (Formula presented.) is prescribed. Then we get (Formula presented.).
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4720885
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