Federica Gregorio

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20182026

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math.AP2026

Higher order Schrödinger operators

Federica Gregorio, Chiara Spina, Cristian Tacelli

In this paper we consider higher order Schrödinger operators $L u = Lu + V u,$ where $L$ denotes a fourth order operator and $V \geq 0$ a suitable potential. We initiate our a…

math.AP2019

Some results on second-order elliptic operators with polynomially growing coefficients in $L^{p}$ -spaces

Sallah Eddine Boutiah, Loredana Caso, Federica Gregorio +1

In this paper we study minimal realizations in $L^{p} (R^{N})$ of the second order elliptic operator \begin{equation*} { A_{b,c}} := (1+|x|^α)Δ+ b|x|^{α-2}x\cdot\nabla - c |x|^…

math.AP2019

Higher order operators on networks: hyperbolic and parabolic theory

Federica Gregorio, Delio Mugnolo

We study higher-order elliptic operators on one-dimensional ramified structures (networks). We introduce a general variational framework for fourth-order operators that allows us t…

Higher order Schrödinger operators

Some results on second-order elliptic operators with polynomially growing coefficients in Lp-spaces

Higher order operators on networks: hyperbolic and parabolic theory

Some results on second-order elliptic operators with polynomially growing coefficients in $L^{p}$ -spaces