35 citations · 108 across the 18 of their papers we have counts for
4 papers · 1 filter
Schrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results
Cristian Cazacu
The aim of this paper is two folded. Firstly, we study the validity of the Pohozaev-type identity for the Schrödinger operator $$A_\la:=-\D -\frac{\la}{|x|^2}, \q \la\in \rr,$$ in…
Hardy inequality and Pohozaev identity for operators with boundary singularities: some applications
Cristian Cazacu
We consider the Schrödinger operator $A_ł:=-\D -ł/|x|^2$, $ł\in \rr$, when the singularity is located on the boundary of a smooth domain $Ω\subset \rr^N$, The aim of this…
Hardy inequalities with boundary singularities
Cristian Cazacu
In this work we prove some Hardy-Poincaré inequalities with quadratic singular potentials localized on the boundary of a smooth domain. Then, we consider conical domains with verte…
Twisted sums, Fenchel-Orlicz spaces and property (M)
George Androulakis, C. D. Cazacu, Nigel J. Kalton
We study certain twisted sums of Orlicz spaces with non-trivial type which can be viewed as Fenchel-Orlicz spaces on . We then show that a large class of Fenchel-O…