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- Joint Institute for Nuclear ResearchRU74 papers
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4 papers · 2 filters
Critical Hardy--Sobolev Inequalities
S. Filippas, V. Maz'ya, A. Tertikas
We consider Hardy inequalities in , , with best constant that involve either distance to the boundary or distance to a surface of co-dimension , and we show t…
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…
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…