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20172020
most citedSpectral Stability Estimates of Dirichlet Divergence Form Elliptic Operators

2 citations · 4 across the 8 of their papers we have counts for

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10 papers

math.AP2020

On Variations of Neumann Eigenvalues of p-Laplacian Generated by Measure Preserving Quasiconformal Mappings

Valerii Pchelintsev

In this paper we study variations of the first non-trivial eigenvalues of the two-dimensional -Laplace operator, , generated by measure preserving quasiconformal mappings $…

math.AP2020

Estimates of Dirichlet eigenvalues of divergent elliptic operators in non-Lipschitz domains

Vladimir Gol'dshtein, Valerii Pchelintsev, Alexander Ukhlov

We study spectral estimates of the divergence form uniform elliptic operators with the Dirichlet boundary condition in bounded non-Lipschitz simpl…

math.AP2020

Space quasiconformal composition operators with applications to Neumann eigenvalues

Vladimir Gol'dshtein, Ritva Hurri-Syrjänen, Valerii Pchelintsev +1

In this article we obtain estimates of Neumann eigenvalues of -Laplace operators in a large class of space domains satisfying quasihyperbolic boundary conditions. The suggested…

math.AP2020

Spectral Stability Estimates of Neumann Divergence Form Elliptic Operators

Vladimir Gol'dshtein, Valerii Pchelintsev, Alexander Ukhlov

We study spectral stability estimates of elliptic operators in divergence form with the Neumann boundary condition in non-Lipschitz domains $Ω\su…

math.AP20192 cited

Spectral Stability Estimates of Dirichlet Divergence Form Elliptic Operators

Vladimir Gol'dshtein, Valerii Pchelintsev, Alexander Ukhlov

We study spectral stability estimates of elliptic operators in divergence form with the Dirichlet boundary condition in non-Lipschitz domains $\w…

math.AP2019

Quasiconformal Mappings and Neumann Eigenvalues of Divergent Elliptic Operators

Vladimir Gol'dshtein, Valeryi Pchelintsev, Alexander Ukhlov

We study spectral properties of divergence form elliptic operators with the Neumann boundary condition in planar domains (including some fractal…