102 citations
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math.AP2008★ 1 cited
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…
math.AP2007★ 3 cited
Multiplication of solutions for linear overdetermined systems of partial differential equations
Jens Jonasson
A large family of linear, usually overdetermined, systems of partial differential equations that admit a multiplication of solutions, i.e, a bi-linear and commutative mapping on th…
math.AP2007★ 7 cited
The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients
Vladimir Maz'ya, Marius Mitrea, Tatyana Shaposhnikova
We study the Dirichlet problem in Lipschitz domains and with boundary data in Besov spaces, for divergence form strongly elliptic systems of arbitrary order, with bounded, complex-…