Masahiro Ikeda

Ground states of the defocusing nonlinear Schrödinger equation with a point interaction in dimensions 2 and 3

Abstract This paper is concerned with ground states of the defocusing nonlinear Schrödinger equation with a point interaction, $$ \textrm{i} \partial _t \psi = -\Delta _\alpha \psi + \psi |\psi |^{p - 2} \quad \text {in} \quad \mathbb {R} \times \mathbb {R}^N, $$ i ∂ t ψ = - Δ α...