15 citations · 57 across the 23 of their papers we have counts for
5 papers · 2 filters
Boundedness of the Hessian of a biharmonic function in a convex domain
Svitlana Mayboroda, Vladimir Maz'ya
We consider the Dirichlet problem for the biharmonic equation on an arbitrary convex domain and prove that the second derivatives of the variational solution are bounded in all dim…
Asymptotics for solutions of elliptic equations in double divergence form
Vladimir Maz'ya, Robert McOwen
We consider weak solutions of the adjoint equation for an elliptic operator in nondivergent form, and their asymptotic properties at an interior point. We assume that the coefficie…
Criteria for the -dissipativity of systems of second order differential equations
Alberto Cialdea, Vladimir Maz'ya
We give complete algebraic characterizations of the -dissipativity of the Dirichlet problem for some systems of partial differential operators of the form $\partial_{h}({\ma…
Uniform asymptotic formulae for Green's functions in singularly perturbed domains
V. Maz'ya, A. Movchan
Asymptotic formulae for Green's functions for the operator $-\GD$ in domains with small holes are obtained. A new feature of these formulae is their uniformity with respect to the…
Uniform asymptotic formulae for Green's kernels in regularly and singularly perturbed domains
Vladimir Maz'ya, Alexander B. Movchan
Asymptotic formulae for Green's kernels of various boundary value problems for the Laplace operator are obtained in regularly perturbed domains and certain…