15 citations · 57 across the 23 of their papers we have counts for
4 papers · 1 filter
A quasi-commutativity property of the Poisson and composition operators
Alberto Cialdea, Vladimir Maz'ya
Let be a real valued function of one real variable, let denote an elliptic second order formally self-adjoint differential operator with bounded measurable coefficients, an…
Optimal estimates for the gradient of harmonic functions in the multidimensional half-space
Gershon Kresin, Vladimir Maz'ya
A representation of the sharp constant in a pointwise estimate of the gradient of a harmonic function in a multidimensional half-space is obtained under the assumption that functio…
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…
Pointwise estimates for the polyharmonic Green function in general domains
Svitlana Mayboroda, Vladimir Maz'ya
In the present paper we establish sharp pointwise estimates on the polyharmonic Green function and its derivatives in an arbitrary bounded open set.