Ufa Institute of Chemistry

output

20032026

most citedBreaks in the Hall-Petch Relationship after Severe Plastic Deformation of Magnesium, Aluminum, Copper, and Iron

73 citations

Showing math.APShow all

10 papers · 1 filter

math.AP2025

On Rayleigh quotients connected to $p$ -Laplace equations with polynomial nonlinearities

Vladimir Bobkov, Mieko Tanaka

Let $Ω$ be a bounded open set and $p, q, r > 1$ . The main observation of the present work is the following: $W_{0}^{1, p} (Ω)$ -solutions of the equation $- Δ_{p} u = μ ∣ u ∣^{q - 2} u + ∣ u ∣^{r - 2} u$ …

math.AP2025

Inverse iteration method for higher eigenvalues of the $p$ -Laplacian

Vladimir Bobkov, Timur Galimov

We propose a characterization of a $p$ -Laplace higher eigenvalue based on the inverse iteration method with balancing the Rayleigh quotients of the positive and negative parts of s…

math.AP2024

Neumann domains of planar analytic eigenfunctions

T. V. Anoop, Vladimir Bobkov, Mrityunjoy Ghosh

Along with the partition of a planar bounded domain $Ω$ by the nodal set of a fixed eigenfunction of the Laplace operator in $Ω$ , one can consider another natural partition of $Ω$ …

math.AP2023★ 1 cited

Reverse Faber-Krahn and Szego-Weinberger type inequalities for annular domains under Robin-Neumann boundary conditions

T. V. Anoop, Vladimir Bobkov, Pavel Drabek

Let $τ_{k} (Ω)$ be the $k$ -th eigenvalue of the Laplace operator in a bounded domain $Ω$ of the form $Ω_{out} ∖ B_{α}$ under the Neumann boundary condition on…

math.AP2023★ 4 cited

Abstract multiplicity results for $(p, q)$ -Laplace equations with two parameters

Vladimir Bobkov, Mieko Tanaka

We investigate the existence and multiplicity of abstract weak solutions of the equation $- Δ_{p} u - Δ_{q} u = α ∣ u ∣^{p - 2} u + β ∣ u ∣^{q - 2} u$ in a bounded domain under zero Dirichlet boundary…

math.AP2023★ 1 cited

Nonuniqueness for fractional parabolic equations with sublinear power-type nonlinearity

Jiří Benedikt, Vladimir Bobkov, Raj Narayan Dhara +1

We show that the parabolic equation $u_{t} + (- Δ)^{s} u = q (x) ∣ u ∣^{α - 1} u$ posed in a time-space cylinder $(0, T) \times R^{N}$ and coupled with zero initial condition and zero…

On Rayleigh quotients connected to p-Laplace equations with polynomial nonlinearities

Inverse iteration method for higher eigenvalues of the p-Laplacian