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math.AP2016
Two- and Multi-phase Quadrature Surfaces
Avetik Arakelyan, Jyotshana V. Prajapat, Henrik Shahgholian
In this paper we shall initiate the study of the two- and multi-phase quadrature surfaces (QS), which amounts to a two/multi-phase free boundary problems of Bernoulli type. The pro…
math.AP2016
On the Uniqueness of the Solution to a Strongly Competing System
Avetik Arakelyan, Farid Bozorgnia
This work is devoted to prove uniqueness result for the positive solution to a strongly competing system of Lotka - Volterra type in the limiting configuration, when the competitio…