Vladimir Gol’dshtein

collaborators

2 papers

math.DG2019

The Sobolev--Poincaré Inequality and the $L_{q, p}$ -Cohomology of Twisted Cylinders

Vladimir Gol'dshtein, Yaroslav Kopylov

We establish a vanishing result for the $L_{q, p}$ -cohomology ( $q \geq p$ ) of a twisted cylinder, which is a generalization of a warped cylinder. The result is new even for warped cyl…

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…

The Sobolev--Poincaré Inequality and the Lq,p​-Cohomology of Twisted Cylinders

Quasiconformal Mappings and Neumann Eigenvalues of Divergent Elliptic Operators

The Sobolev--Poincaré Inequality and the $L_{q, p}$ -Cohomology of Twisted Cylinders