6533b873fe1ef96bd12d5573

RESEARCH PRODUCT

Nonlocal Minimal Surfaces and Nonlocal Curvature

Julián ToledoJulio D. RossiJosé M. Mazón

subject

Set (abstract data type)PerimeterMinimal surfaceBounded set (topological vector space)Mathematical analysisZero (complex analysis)Point (geometry)MinificationCurvatureMathematics

description

Recall that if a set E has minimal local perimeter in a bounded set Ω, then it has zero mean curvature at each point of ∂E ∩ Ω (see [51]), and the equation that says that the curvature is equal to zero is the Euler–Lagrange equation associated to the minimization of the perimeter of a set.

yearjournalcountryeditionlanguage
2019-01-01
https://doi.org/10.1007/978-3-030-06243-9_3