S. Kholmatov

activity

20162025

collaborators

Showing 2019Show all

3 papers · 1 filter

math.SP2019

Expansion of eigenvalues of rank-one perturbations of the discrete bilaplacian

Ahmad Khalkhuzhaev, Shokhrukh Yu. Kholmatov, Mardon Pardabaev

We consider the family $h^_{μ} := Δ^Δ^- μ v^,$ $μ \in R,$ of discrete Schrödinger-type operators in $d$ -dimensional lattice $Z^{d}$ , where…

math.SP2019

Asymptotics of eigenvalues of the zero-range perturbation of the discrete bilaplacian

Shokhrukh Yu. Kholmatov, Mardon Pardabaev

We consider the family $h^_{μ} := Δ^Δ^- μ v^, μ \in R,$ of discrete Schrödinger-type operators in one-dimensional lattice $\m…

math.AP2019

A unified model for stress-driven rearrangement instabilities

Shokhrukh Yu. Kholmatov, Paolo Piovano

A variational model to simultaneously treat Stress-Driven Rearrangement Instabilities, such as boundary discontinuities, internal cracks, external filaments, edge delamination, wet…