Positive solutions for a quasilinear degenerate elliptic equation in \(\mathbb R^ N\)
type: Item
instance of: scholarly article
title: Positive solutions for a quasilinear degenerate elliptic equation in \(\mathbb R^ N\)
zbMATH Open document ID: 0659.35039
DOI: 10.1007/BF02843904
author: Giovanna Citti
publication date: 1986-01-01T00:00:00Z
review text: The existence of a positive, spherically symmetric solution on \(\mathbb R^ N\), which vanishes as \(| x| \to +\infty\), of the degenerate elliptic equation \(D(| Du|^{p-2} Du)+f(u)=0\) is studied. The method used in the proof of the existence of such a solution is the constrained minimization method as by \textit{H. Berestycki} and \textit{P. L. Lions} [Arch. Ration. Mech. Anal. 82, 313--345 (1983; Zbl 0533.35029)] for the linear case \((p=2)\).
reviewed by: Marco Biroli
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35B09
zbMATH DE Number: 4077833
zbMATH Keywords: existence
zbMATH Keywords: positive
zbMATH Keywords: spherically symmetric
zbMATH Keywords: constrained minimization method
MaRDI profile type: Publication
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Q3027502
cites work: Existence of solitary waves in higher dimensions
cites work: Best constant in Sobolev inequality
full work available at URL: https://doi.org/10.1007/bf02843904
OpenAlex ID: W2087663978
published in: Rendiconti del Circolo Matematico di Palermo
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description: scientific article; zbMATH DE number 4077833