Asymptotic behavior of radial oscillatory solutions of a quasilinear elliptic equation
type: Item
instance of: scholarly article
title: Asymptotic behavior of radial oscillatory solutions of a quasilinear elliptic equation
zbMATH Open document ID: 0962.34019
DOI: 10.1016/S0362-546X(98)00298-3
author: Lop F. Ho
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2001-05-29T00:00:00Z
review text: The author considers the generalized Laplace equation \[ {\text{div}}(|\nabla u|^{m-2}\nabla u)+ f(|x|,u)=0,\quad x\in \mathbb R^n. \] He shows that under certain assumptions the solutions to the considered equation must possess an infinite number of zeros. The generalized Pokhozhaev identities are also provided.
reviewed by: J. Džurina
Mathematics Subject Classification ID: 34B30
Mathematics Subject Classification ID: 35H30
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 1512496
zbMATH Keywords: quasilinear elliptic equation
zbMATH Keywords: Pokhozhaev identity
MaRDI profile type: Publication
full work available at URL: s0362-546x(98)00298-3
OpenAlex ID: W1969707647
Wikidata QID: Q127798174
description: scientific article; zbMATH DE number 1512496