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

collaborators

4 papers

math.AP2011★ 15 cited

An elementary proof of the continuity from $L_{0}^{2} (Ω)$ to $H_{0}^{1} (Ω)^{n}$ of Bogovskii's right inverse of the divergence

Ricardo G. Duran

The existence of right inverses of the divergence as an operator form $H_{0}^{1} (Ω)^{n}$ to $L_{0}^{2} (Ω)$ is a problem that has been widely studied because of its importance in the analysis…

math.AP2010

On the existence of bounded solutions for a nonlinear elliptic system

Ricardo G. Duran, Marcela Sanmartino, Marisa Toschi

This work deals with the system $(- Δ)^{m} u = a (x) v^{p}$ , $(- Δ)^{m} v = b (x) u^{q}$ with Dirichlet boundary condition in a domain $Ω\subset\RR^n$, where $Ω$ is a ball if $n \geq 3$ or a smooth…

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…

An elementary proof of the continuity from L02​(Ω) to H01​(Ω)n of Bogovskii's right inverse of the divergence

On the existence of bounded solutions for a nonlinear elliptic system

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

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

An elementary proof of the continuity from $L_{0}^{2} (Ω)$ to $H_{0}^{1} (Ω)^{n}$ of Bogovskii's right inverse of the divergence