Sharp nonoscillation theorems for even-order elliptic equations
type: Item
instance of: scholarly article
title: Sharp nonoscillation theorems for even-order elliptic equations
zbMATH Open document ID: 0603.35004
DOI: 10.1016/0022-247X(86)90190-3
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: Für elliptische Operatoren gerader Ordnung der Form \[ L(u)=(-1)^ m\sum_{| \alpha | =| \beta | =m}D^{\alpha}(a_{\alpha \beta}(x) D^{\beta}u)-a_ 0(x)u \] in unbeschränkten Gebieten werden Bedingungen angegeben, unter denen L nicht ''strongly oscillating'' ist, d.h. es gibt \(r_ 0\gg 1\), so daß für jedes Gebiet \(G\subset \{| x| >r_ 0\}\) das Problem \(L(u)=0\), \(u\in\overset\circ H_ m(G)\) nur die triviale Lösung besitzt.
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35J30
zbMATH DE Number: 3973388
zbMATH Keywords: comparison theorems
zbMATH Keywords: spherical means
zbMATH Keywords: non-oscillation
zbMATH Keywords: unbounded domain
zbMATH Keywords: strongly oscillating
author: Velmer B. Headley
MaRDI profile type: Publication
cites work: On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
cites work: Nonoscillation theory of elliptic equations of order \(2n\)
cites work: A Kneser Theorem for Higher order Elliptic Equations
cites work: The extremal solutions of the equation Ly + p(x)y = 0
cites work: Nonoscillation and Eventual Disconjugacy
cites work: A monotonicity principle for eigenvalues
cites work: Sharp nonlogarithmic Kneser theorems for fourth-order elliptic equations
cites work: Oscillation criteria for elliptic equations
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: NON-OSCILLATION OF SOLUTIONS OF THE EQUATIONx(n)+p1(t)x(n−1)+ … +pn(t)x= 0
cites work: Comparison and existence theorems for multicomponent diffusion systems
cites work: Oscillation theory of elliptic equations of order \(2m\)
cites work: 6.—Oscillation Theory for Semilinear Schrödinger Equations and Inequalities
cites work: Q4116778
cites work: On the zeros of solutions of Nth order linear differential equations
cites work: Properties of solutions of Nth order linear differential equations
cites work: Q5735444
cites work: A generalization of Sturm's comparison theorem
cites work: Canonical Forms and Principal Systems for General Disconjugate Equations
description: scientific article; zbMATH DE number 3973388