Singular \(p\)-Laplacian equations with superlinear perturbation
type: Item
instance of: scholarly article
title: Singular \(p\)-Laplacian equations with superlinear perturbation
zbMATH Open document ID: 1417.35050
author: Nikolaos S. Papageorgiou
author: Patrick Winkert
published in: Journal of Differential Equations
publication date: 2018-12-03T00:00:00Z
review text: The authors study a nonlinear Dirichlet problem with $p$-Laplacian, a singular term and a parametric perturbation. A bifurcation type result is shown: existence of at least two positive solutions for small parameter $\lambda$, and no solutions for large values of the parameter. Finally monotonicity and continuity of the function which to each small $\lambda$ assigns the smallest positive solution is shown.
reviewed by: Leszek Gasiński
Mathematics Subject Classification ID: 35J96
Mathematics Subject Classification ID: 35J40
zbMATH DE Number: 6987667
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: singular problem
zbMATH Keywords: positive solutions
MaRDI profile type: Publication
full work available at URL: j.jde.2018.08.002
OpenAlex ID: W2885074282
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Wikidata QID: Q129418553
DOI: 10.1016/J.JDE.2018.08.002
description: scientific article; zbMATH DE number 6987667