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math-ph2016
Eigenvalue problem in a solid with many inclusions: asymptotic analysis
V. G. Maz'ya, A. B. Movchan, M. J. Nieves
We construct the asymptotic approximation to the first eigenvalue and corresponding eigensolution of Laplace's operator inside a domain containing a cloud of small rigid inclusions…
math.AP2016
Differentiability of Solutions to the Neumann Problem with Low-Regularity Data via Dynamical Systems
Robert McOwen, Vladimir Maz'ya
We obtain conditions for the differentiability of weak solutions for a second-order uniformly elliptic equation in divergence form with a homogeneous co-normal boundary condition.…