On the existence of ground states to Hartree-type equations in $\mathbb{R}^3$ with a delta potential

Consider the Hartree-type equation in $\mathbb{R}^3$ with a delta potential formally described by $$ i \partial_t \psi = - \Delta_x \psi + \alpha \delta_0 \psi - (I_\beta \ast |\psi|^p) |\psi|^{p - 2} \psi $$ where $\alpha \in \mathbb{R}$; $0 < \beta < 3$ and we want to solve for $\psi \colon...

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Bibliographische Detailangaben

1. Verfasser:	Ramos, Gustavo de Paula
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs
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