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math.AP2017★ 1 cited
-surfaces with free boundaries
Hayk Aleksanyan, Aram L. Karakhanyan
A well-known question in classical differential geometry and geometric analysis asks for a description of possible boundaries of -surfaces, which are smooth, compact hypersurfac…
math.AP2017
Perturbed divisible sandpiles and quadrature surfaces
Hayk Aleksanyan, Henrik Shahgholian
The main purpose of the present paper is to establish a link between quadrature surfaces (potential theoretic concept) and sandpile dynamics (Laplacian growth models). For this aim…