On the existence of ground states for nonlinear Schrödinger-Poisson equation
type: Item
instance of: scholarly article
title: On the existence of ground states for nonlinear Schrödinger-Poisson equation
zbMATH Open document ID: 1191.35251
author: Mariano Fernando De Leo
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-07-13T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 37K05
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 5736423
zbMATH Keywords: nonlinear Schrödinger-Poisson equation
zbMATH Keywords: ground states
zbMATH Keywords: doping profile
zbMATH Keywords: conservation laws
MaRDI profile type: Publication
full work available at URL: j.na.2010.04.025
OpenAlex ID: W2066514391
cites work: Well posedness and smoothing effect of Schrödinger-Poisson equation
cites work: Q3998351
cites work: Q3999275
cites work: Existence of solitary waves in higher dimensions
cites work: The global Cauchy problem for the nonlinear Schrödinger equation revisited
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Nonlinear Schrödinger equations and sharp interpolation estimates
cites work: Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
cites work: On the standing wave for a class of nonlinear Schrödinger equations
cites work: Orbital stability of numerical periodic nonlinear Schrödinger equation
cites work: The One-Dimensional Wigner–Poisson Problem and Its Relation to the Schrödinger–Poisson Problem
cites work: THE IVP FOR THE SCHRÖDINGER–POISSON-Xα EQUATION IN ONE DIMENSION
cites work: Q5318420
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. I
DOI: 10.1016/J.NA.2010.04.025
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description: scientific article; zbMATH DE number 5736423