Now showing items 1-3 of 3

• #### Hardy inequality and Pohozaev identity for operators with boundary singularities: Some applications ﻿

(2011-12-31)
We consider the Schrödinger operator Aλ:=-δ-λ/|x|2, λ∈R, when the singularity is located on the boundary of a smooth domain Ω⊂RN, N≥1.The aim of this Note is two folded. Firstly, we justify the extension of the classical ...
• #### On Hardy inequalities with singularities on the boundary [Sur les inégalités de Hardy avec des singularités sur la frontière] ﻿

(2011-12-31)
In this Note we present some Hardy-Poincaré inequalities with one singularity localized on the boundary of a smooth domain. Then, we consider conical domains in dimension N≥3 whose vertex is on the singularity and we show ...
• #### Schrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results ﻿

(2012-12-31)
The aim of this paper is two folded. Firstly, we study the validity of a Pohozaev-type identity for the Schrödinger operator A λ:=-δ-λ/|x| 2, λ∈R, in the situation where the origin is located on the boundary of a smooth ...