73 citations
- Institute of Mathematics with Computer CenterRU12 papers
- Bashkir State UniversityRU7 papers
- Loughborough UniversityGB7 papers
- University of Hradec KrálovéCZ5 papers
- University of West Bohemia in PilsenCZ4 papers
- Lomonosov Moscow State UniversityRU3 papers
- Russian Academy of SciencesRU3 papers
- St Petersburg UniversityRU3 papers
- Tokyo University of ScienceJP3 papers
- Indian Institute of Technology MadrasIN2 papers
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- Kyushu UniversityJP2 papers
52 papers
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…
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 …
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,…
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…
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…
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…