output
20032026
most citedBreaks in the Hall-Petch Relationship after Severe Plastic Deformation of Magnesium, Aluminum, Copper, and Iron

73 citations

52 papers

nlin.SI2026★ 3 cited

On Bäcklund transformations preserving the Darboux integrability of hyperbolic equations

Sergey Ya. Startsev

This paper deals with two kinds of Bäcklund transformations for scalar hyperbolic partial differential equations. We prove that both these types of transformations map solutions of…

math.AP2025

On Rayleigh quotients connected to -Laplace equations with polynomial nonlinearities

Vladimir Bobkov, Mieko Tanaka

Let be a bounded open set and . The main observation of the present work is the following: -solutions of the equation …

cond-mat.mtrl-sci2025★ 36 cited

Severe Plastic Deformation of Ceramics by High-Pressure Torsion: Review of Principles and Applications

Kaveh Edalati, Jacqueline Hidalgo-Jiménez, Thanh Tam Nguyen +8

Ceramics are typically brittle at ambient conditions due to their covalent or ionic bonding and limited dislocation activities. While plasticity, and occasionally superplasticity,…

math.AP2025

Inverse iteration method for higher eigenvalues of the -Laplacian

Vladimir Bobkov, Timur Galimov

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

math.SP2025

Eigenvalue distribution in gaps of the essential spectrum of the Bochner-Schrödinger operator

Yuri A. Kordyukov

The Bochner-Schrödinger operator on high tensor powers of a Hermitian line bundle on a Riemannian manifold of bounded geometry is studied un…

math.DG2024

A vanishing theorem in -theory for spectral projections of a non-periodic magnetic Schrödinger operator

Yuri A. Kordyukov, Vladimir M. Manuilov

We consider the Schrödinger operator on a Riemannian manifold of bounded geometry, where is a coupling parameter, the magneti…