Sergio Lancelotti

most citedNormalized positive solutions for Schrödinger equations with potentials in unbounded domains

9 citations · 9 across the 1 of their papers we have counts for

collaborators

2 papers

math.AP2022★ 9 cited

Normalized positive solutions for Schrödinger equations with potentials in unbounded domains

Sergio Lancelotti, Riccardo Molle

The paper deals with the existence of positive solutions with prescribed $L^{2}$ norm for the Schrödinger equation $$ -Δu+λu+V(x)u=|u|^{p-2}u,\qquad u\in H^1_0(Ω),\quad\int_Ωu^2dx=ρ^…

math.AP2018

Positive solutions for autonomous and non-autonomous nonlinear critical elliptic problems in exterior domains

Sergio Lancelotti, Riccardo Molle

The paper concerns with positive solutions of problems of the type $- Δ u + a (x) u = u^{p - 1} + ε u^{2^{*} - 1}$ in $Ω \subseteq R^{N}$ , $N \geq 3$ , $2^{*} = \frac{2 N}{N - 2}$ , $2<p<2^*…