Sign-changing saddle point
type: Item
instance of: scholarly article
title: Sign-changing saddle point
zbMATH Open document ID: 1174.35343
published in: Journal of Functional Analysis
publication date: 2005-03-08T00:00:00Z
review text: The author considers semilinear elliptic bundary value problem \[ -\Delta u= f(x,u)\quad\text{in }\Omega,\qquad u= 0\quad\text{on }\partial\Omega \] and the Schrödinger equation \[ -\Delta u+ V_\lambda(x) u= f(x,u),\;x\in\mathbb R^N,\;u(x)\to 0\quad\text{as }|x|\to \infty, \] where \(\Omega\subset\mathbb R^N\) is a bounded domain with smooth boundary \(\partial\Omega\); the Schrödinger operator \(-\Delta+ V_\lambda(x)\) has both eigenvalues and essential spectrum. The author applies a new abstract result to study the existence of sign-changing solutions.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 2141633
zbMATH Keywords: Saddle-point theorem
zbMATH Keywords: Sign-changing
zbMATH Keywords: Resonant
zbMATH Keywords: Linking
author: Wenming Zou
MaRDI profile type: Publication
full work available at URL: j.jfa.2004.10.002
OpenAlex ID: W2012679452
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DOI: 10.1016/J.JFA.2004.10.002
description: scientific article; zbMATH DE number 2141633