Multiple positive solutions for a nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: Multiple positive solutions for a nonlinear Schrödinger equation
zbMATH Open document ID: 0972.35145
DOI: 10.1007/PL00001511
author: Zhi-Qiang Wang
author: Thomas J. Bartsch
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2001-11-13T00:00:00Z
review text: The authors investigate the number of positive solutions of the nonlinear Schrödinger equation \(-\Delta u+(\lambda a(x)+ 1)u= u^p\) in \(\mathbb{R}^N\), where \(a\geq 0\) has \(\text{int }a^{-1}(0)\) nonempty and \(p> 1\) is subcritical. The existence of multiple positive solutions is proved for \(\lambda\) sufficiently large by using variational methods.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 1484707
zbMATH Keywords: existence of multiple positive solutions
zbMATH Keywords: variational methods
MaRDI profile type: Publication
full work available at URL: pl00001511
OpenAlex ID: W2367322281
description: scientific article; zbMATH DE number 1484707