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
2019-01-01
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.).File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
