1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DG2017
On The Phase Connectedness Of The Volume-Constrained Area Minimizing Partitioning Problem
Apostol Faliagas
We study the stability of partitions in convex domains involving simultaneous coexistence of three phases, viz. triple junctions. We present a careful derivation of the formula for…
math.AP2015★ 1 cited
Stability Criteria for Multiphase Partitioning Problems with Volume Constraints
N. D. Alikakos, A. C. Faliagas
We study the stability of partitions involving two or more phases in convex domains under the assumption of at most two-phase contact, thus excluding in particular triple junctions…
math.AP2013
On the equivalence of Euler-Lagrange and Noether equations
A. C. Faliagas
We prove that on the condition of non-trivial solutions, the Euler-Lagrange and Noether equations are equivalent for the variational problem of nonlinear Poisson equation and a cla…