Sharp nonlogarithmic Kneser theorems for fourth-order elliptic equations
type: Item
instance of: scholarly article
title: Sharp nonlogarithmic Kneser theorems for fourth-order elliptic equations
zbMATH Open document ID: 0584.35003
DOI: 10.1016/0022-247X(85)90024-1
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: This paper deals with nonoscillation theorems for linear fourth-order elliptic partial differential equations defined in subregions of \({\mathbb{R}}^ n\). The results obtained here are the best possible for each n, and reduce to well-known classical results if \(n=1\).
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 3935547
zbMATH Keywords: nodal domain
zbMATH Keywords: nonoscillation theorems
zbMATH Keywords: linear fourth-order elliptic partial differential equations
author: Velmer B. Headley
MaRDI profile type: Publication
cites work: On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
cites work: A Kneser Theorem for Higher order Elliptic Equations
cites work: Elliptic equations of order 2m
cites work: A monotonicity principle for eigenvalues
cites work: Nonlinear oscillation of a fourth order elliptic equation
cites work: On the Oscillation of Solutions of Self-Adjoint Linear Differential Equations of the Fourth Order
cites work: Q3292759
cites work: Comparison and existence theorems for multicomponent diffusion systems
cites work: 6.—Oscillation Theory for Semilinear Schrödinger Equations and Inequalities
cites work: A generalization of Sturm's comparison theorem
cites work: Nonoscillation criteria for fourth order elliptic equations
description: scientific article; zbMATH DE number 3935547