37 citations · 101 across the 16 of their papers we have counts for
10 papers
Boundary Characteristic Point Regularity for Navier-Stokes Equations: Blow-up Scaling and Petrovskii-type Criterion (a Formal Approach)
V. A. Galaktionov, V. Maz'ya
It is shown that Wiener's regularity of the vertex of a backward paraboloid for 3D Navier-Stokes equations with zero Dirichlet conditions on the paraboloid boundary is given by Pet…
Boundary characteristic point regularity for semilinear reaction-diffusion equations: Towards an ODE criterion
V. A. Galaktionov And V. Maz'ya
Boundary characteristic point regularity is studied for a class of semilinear heat equations and an ODE criterion of regularity is obtained. Extensions to higher-order semilinear p…
solvability of the Stationary Stokes problem on domains with conical singularity in any dimension
Martin Dindoš, Vladimir Maz'ya
The Dirichlet boundary value problem for the Stokes operator with data in any dimension on domains with conical singularity (not necessary a Lipschitz graph) is considered. W…
Well-posed elliptic Neumann problems involving irregular data and domains
A. Alvino, A. Cianchi, V. Maz'ya +1
Nonlinear elliptic Neumann problems, possibly in irregular domains and with data affected by low integrability properties, are taken into account. Existence, uniqueness and continu…
Asymptotic treatment of perforated domains without homogenization
V. Maz'ya, A. Movchan
As a main result of the paper, we construct and justify an asymptotic approximation of Green's function in a domain with many small inclusions. Periodicity of the array of inclusio…
Sharp Hardy-Leray inequality for axisymmetric divergence-free fields
O. Costin, V. Maz'ya
We show that the sharp constant in the classical -dimensional Hardy-Leray inequality can be improved for axisymmetric divergence-free fields, and find its optimal value. The sam…