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math.CV2023
On the theory of generalized quasiconformal mappings
Vladimir Gol'dshtein, Evgeny Sevost'yanov, Alexander Ukhlov
We study generalized quasiconformal mappings in the context of the inverse Poletsky inequality. We consider the local behavior and the boundary behavior of mappings with the invers…
math.AP2023
On the principal frequency of non-homogeneous membranes
Vladimir Gol'dshtein, Valery Pchelintsev
We obtained estimates for first eigenvalues of the Dirichlet boundary value problem for elliptic operators in divergence form (i.e. for the principal frequency of non-homogeneous m…