10 citations · 39 across the 12 of their papers we have counts for
4 papers · 2 filters
Estimates for differential operators of vector analysis involving -norm
Vladimir Maz'ya
New Hardy and Sobolev type inequalities involving -norms of scalar and vector-valued functions in are obtained. The work is related to some problems stated in the…
Boundedness of the gradient of a solution to the Neumann-Laplace problem in a convex domain
Vladimir Maz'ya
It is shown that solutions of the Neumann problem for the Poisson equation in an arbitrary convex -dimensional domain are uniformly Lipschitz. Applications of this result to som…
Conductor inequalities and criteria for Sobolev-Lorentz two-weight inequalities
Serban Costea, Vladimir Maz'ya
In this paper we present integral conductor inequalities connecting the Lorentz p,q-(quasi)norm of a gradient of a function to a one-dimensional integral of the p,q-capacitance of…
A collection of sharp dilation invariant inequalities for differentiable functions
V. Maz'ya, T. Shaposhnikova
We find best constants in several dilation invariant integral inequalities involving derivatives of functions. Some of these inequalities are new and some were known without best c…