2 citations · 4 across the 9 of their papers we have counts for
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Conformal composition operators with applications to Dirichlet eigenvalues
C. Deneche, V. Pchelintsev
This paper is concerned with spectral estimates for the first Dirichlet eigenvalue of the degenerate -Laplace operator in bounded simply connected domains .…
On -eigenvalues of the weighted -Laplace operator in outward Hölder cuspidal domains
Prashanta Garain, Valerii Pchelintsev, Alexander Ukhlov
In this paper, we will study Neumann -eigenvalue problem for the weighted -Laplace operator in outward Hölder cuspidal domains. The suggested method is based on the compo…
Spectral estimates of the Dirichlet-Laplace operator in conformal regular domains
Ivan Kolesnikov, Valerii Pchelintsev
In this paper we consider conformal spectral estimates of the Dirichlet-Laplace operator in conformal regular domains . This study is based on the geometric t…
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 $…
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…
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…