Ground states for pseudo-relativistic Hartree equations of critical type
type: Item
instance of: scholarly article
title: Ground states for pseudo-relativistic Hartree equations of critical type
zbMATH Open document ID: 1283.35121
DOI: 10.4171/RMI/763
author: Vittorio Coti Zelati
author: Margherita Nolasco
published in: Revista Matemática Iberoamericana
publication date: 2014-02-21T00:00:00Z
full work available at URL: https://arxiv.org/abs/1202.2446
review text: Summary: We study the existence of ground state solutions for a class of nonlinear pseudo-relativistic Schrödinger equations with critical two-body interactions. Such equations are characterized by a nonlocal pseudo-differential operator closely related to the square root of the Laplacian. We investigate this problem using variational methods after transforming the problem to an elliptic equation with a nonlinear Neumann boundary conditions.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 6260633
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: pseudo-relativistic Hartree approximation
zbMATH Keywords: solitary waves
zbMATH Keywords: ground states
MaRDI profile type: Publication
arXiv ID: 1202.2446
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description: scientific article