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math.AP2021
Principal frequencies of free non-homogeneous membranes and Sobolev extension operators
Vladimir Gol'dshtein, Valerii Pchelintsev, Alexander Ukhlov
Using the quasiconformal mappings theory and Sobolev extension operators, we obtain estimates of principal frequencies of free non-homogeneous membranes. The suggested approach is…
math.AP2021
On growth monotonicity estimates of the principal Dirichlet-Laplacian eigenvalue
Valerii Pchelintsev
In the present paper we obtain growth monotonicity estimates of the principal Dirichlet-Laplacian eigenvalue in bounded non-Lipschitz domains. The proposed method is based on compo…