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20182026
most citedNormalized positive solutions for Schrödinger equations with potentials in unbounded domains

9 citations · 13 across the 11 of their papers we have counts for

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math.AP2021

Infinitely many solutions for elliptic equations with non-symmetric nonlinearities

Riccardo Molle, Donato Passaeo

We deal with the existence of infinitely many solutions for a class of elliptic problems with non-symmetric nonlinearities. Our result, which is motivated by a well known conjectur…

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), \…