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math.AP2017
On maximizing the fundamental frequency of the complement of an obstacle
Bogdan Georgiev, Mayukh Mukherjee
Let be a bounded domain satisfying a Hayman-type asymmetry condition, and let be an arbitrary bounded domain referred to as "obstacle". We are interes…
math.SP2017
Polynomial upper bound on interior Steklov nodal sets
Bogdan Georgiev, Guillaume Roy-Fortin
We study solutions of uniformly elliptic PDE with Lipschitz leading coefficients and bounded lower order coefficients. We extend previous results of A. Logunov concerning nodal set…