V. Pchelintsev

activity

20162025

most citedSpectral Stability Estimates of Dirichlet Divergence Form Elliptic Operators

2 citations · 5 across the 19 of their papers we have counts for

collaborators

20 papers

math.AP2025

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 $p$ -Laplace operator in bounded simply connected domains $Ω \subset C$ .…

math.AP2023

On $(p, q)$ -eigenvalues of the weighted $p$ -Laplace operator in outward Hölder cuspidal domains

Prashanta Garain, Valerii Pchelintsev, Alexander Ukhlov

In this paper, we will study Neumann $(p, q)$ -eigenvalue problem for the weighted $p$ -Laplace operator in outward Hölder cuspidal domains. The suggested method is based on the compo…

math.AP2023

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 $Ω \subset R^{2}$ . This study is based on the geometric t…

math.AP2023

On the Neumann $(p, q)$ -eigenvalue problem in Hölder singular domains

Prashanta Garain, Valerii Pchelintsev, Alexander Ukhlov

In the article we study the Neumann $(p, q)$ -eigenvalue problems in bounded Hölder $γ$ -singular domains $Ω_{γ} \subset R^{n}$ . In the case $1 < p < \infty$ and $1 < q < p_{γ}^{*}$ we prov…

math.AP2022

On regularity of weighted Sobolev homeomorphisms

Valerii Pchelintsev, Alexander Ukhlov

We study the weak regularity of mappings inverse to weighted Sobolev homeomorphisms $φ : Ω \to Ω$ , where $Ω$ and $Ω$ are domains in $R^{n}$ . Using the weak re…

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…

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 $p$ -Laplace operator, $p > 2$ , 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 $- div [A (z) \nabla f (z)]$ 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 $p$ -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 $- div [A (w) \nabla g (w)]$ with the Neumann boundary condition in non-Lipschitz domains $Ω\su…

math.AP2019★ 2 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 $- div [A (w) \nabla g (w)]$ 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 $- div [A (z) \nabla f (z)]$ with the Neumann boundary condition in planar domains (including some fractal…

math.AP2018

On Conformal Spectral Gap Estimates of the Dirichlet-Laplacian

V. Gol'dshtein, V. Pchelintsev, A. Ukhlov

We study spectral stability estimates of the Dirichlet eigenvalues of the Laplacian in non-convex domains $Ω \subset R^{2}$ . With the help of these estimates we obtain asymptot…

math.AP2017★ 1 cited

Sobolev Extension Operators and Neumann Eigenvalues

V. Gol'dshtein, V. Pchelintsev, A. Ukhlov

In this paper we apply estimates of the norms of Sobolev extension operators to the spectral estimates of of the first nontrivial Neumann eigenvalue of the Laplace operator in non-…

math.AP2017★ 1 cited

On the First Eigenvalue of the Degenerate $p$ -Laplace Operator in Non-Convex Domains

V. Gol'dshtein, V. Pchelintsev, A. Ukhlov

In this paper we obtain lower estimates of the first non-trivial eigenvalues of the degenerate $p$ -Laplace operator, $p > 2$ , in a large class of non-convex domains. This study is ba…

math.AP2017

Spectral Properties of the Neumann-Laplace operator in Quasiconformal Regular Domains

V. Gol'dshtein, V. Pchelintsev, A. Ukhlov

In this paper we study spectral properties of the Neumann-Laplace operator in planar quasiconformal regular domains $Ω \subset R^{2}$ . This study is based on the quasiconformal…

math.AP2017★ 1 cited

Spectral Estimates of the $p$ -Laplace Neumann operator and Brennan's Conjecture

Vladimir Gol'dshtein, Valerii Pchelintsev, Alexander Ukhlov

In this paper we obtain estimates for the first nontrivial eigenvalue of the $p$ -Laplace Neumann operator in bounded simply connected planar domains $Ω \subset R^{2}$ . This stu…

math.AP2017

Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian

Vladimir Gol'dshtein, Valerii Pchelintsev, Alexander Ukhlov

In this paper we study integral estimates of derivatives of conformal mappings $φ : D \to Ω$ of the unit disc $D \subset C$ onto bounded domains $Ω$ that satisfy…

math.CV2016

On an extremal problem for nonoverlapping domains *

Evgenii Pchelintsev, Valerii Pchelintsev

The paper considers the problem of finding the range of functional I = J f (z 0), f (z 0), F ( $ζ$ 0), F ( $ζ$ 0) , defined on the class M of pairs functions (f (z), F ( $ζ$ )) that ar…

Conformal composition operators with applications to Dirichlet eigenvalues

On (p,q)-eigenvalues of the weighted p-Laplace operator in outward Hölder cuspidal domains

Spectral estimates of the Dirichlet-Laplace operator in conformal regular domains

On the Neumann (p,q)-eigenvalue problem in Hölder singular domains

On regularity of weighted Sobolev homeomorphisms

Principal frequencies of free non-homogeneous membranes and Sobolev extension operators

On growth monotonicity estimates of the principal Dirichlet-Laplacian eigenvalue

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

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

Space quasiconformal composition operators with applications to Neumann eigenvalues

Spectral Stability Estimates of Neumann Divergence Form Elliptic Operators

Spectral Stability Estimates of Dirichlet Divergence Form Elliptic Operators

Quasiconformal Mappings and Neumann Eigenvalues of Divergent Elliptic Operators

On Conformal Spectral Gap Estimates of the Dirichlet-Laplacian

Sobolev Extension Operators and Neumann Eigenvalues

On the First Eigenvalue of the Degenerate p-Laplace Operator in Non-Convex Domains

Spectral Properties of the Neumann-Laplace operator in Quasiconformal Regular Domains

Spectral Estimates of the p-Laplace Neumann operator and Brennan's Conjecture

Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian

On an extremal problem for nonoverlapping domains *

On $(p, q)$ -eigenvalues of the weighted $p$ -Laplace operator in outward Hölder cuspidal domains

On the Neumann $(p, q)$ -eigenvalue problem in Hölder singular domains

On the First Eigenvalue of the Degenerate $p$ -Laplace Operator in Non-Convex Domains

Spectral Estimates of the $p$ -Laplace Neumann operator and Brennan's Conjecture