Ricardo G. Durán

most citedAn elementary proof of the continuity from

L_{0}^{2} (Ω)

H_{0}^{1} (Ω)^{n}

of Bogovskii's right inverse of the divergence

15 citations · 15 across the 4 of their papers we have counts for

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2 papers · 1 filter

math.CA2010

Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions

Pablo L. De Nápoli, Irene Drelichman, Ricardo G. Durán

We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in $R^{n} \times R_{+}$ admit a better range of p…

math.CA2010

Weighted a priori estimates for the solution of the homogeneous Dirichlet problem for the powers of the Laplacian Operator

Ricardo Duran, Marcela Sanmartino y Marisa Toschi

Let $u$ be a weak solution of $(- Δ)^{m} u = f$ with Dirichlet boundary conditions in a smooth bounded domain $Ω \subset R^{n}$ . Then, the main goal of this paper is to prove th…