Existence of ground states for nonlinear, pseudo-relativistic Schrödinger equations
type: Item
instance of: scholarly article
title: Existence of ground states for nonlinear, pseudo-relativistic Schrödinger equations
zbMATH Open document ID: 1219.35292
DOI: 10.4171/RLM/587
author: Vittorio Coti Zelati
author: Margherita Nolasco
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2011-06-23T00:00:00Z
review text: Summary: We study existence and regularity of positive stationary solutions for a class of nonlinear pseudo-relativistic Schrödinger equations. Such equations are characterized by a nonlocal pseudo-differential operator closely related to the square-root of the Laplacian. We investigate such problems using critical point theory after transforming them to elliptic equations with nonlinear Neumann boundary conditions.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35S05
Mathematics Subject Classification ID: 81Q20
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B09
zbMATH DE Number: 5912110
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: solitary waves
zbMATH Keywords: pseudo-relativistic Hartree approximation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5912110