2 papers
math.AP2021
Normalized solutions to mass supercritical Schrodinger equations with negative potential
Riccardo Molle, Giuseppe Riey, Gianmaria Verzini
We study the existence of positive solutions with prescribed -norm for the Schrödinger equation \[ -Δu-V(x)u+λu=|u|^{p-2}u\qquadλ\in \mathbb{R},\quad u\in H^1(\mathbb{R}^N), \…
math.AP2018
Hopf Lemma and regularity results for quasilinear anisotropic elliptic equations
Daniele Castorina, Giuseppe Riey, Berardino Sciunzi
We consider a class of quasi-linear anisotropic elliptic equations, possibly degenerate or singular, which are of interest in several applications such as computer vision and conti…