Multiple positive solutions for a quasilinear elliptic equation in \(\mathbb {R}^N\).
type: Item
instance of: scholarly article
title: Multiple positive solutions for a quasilinear elliptic equation in \(\mathbb {R}^N\).
zbMATH Open document ID: 1274.35133
author: Honghui Yin
author: Zuodong Yang
author: Zhaosheng Feng
published in: Differential and Integral Equations
publication date: 2013-04-09T00:00:00Z
review text: This paper deals with the existence and multiplicity results for a class of quasilinear equations with the \(p\)-Laplacian. The authors work on the Nehari manifold where they extract corresponding Palais-Smale sequences. The authors generalize some of the results from classical paper by \textit{A. Ambrosetti} et al. [J. Funct. Anal. 122, No. 2, 519--543 (1994; Zbl 0805.35028)].
reviewed by: Pavel Drábek
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35J91
zbMATH DE Number: 6152283
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: Nehari manifold
zbMATH Keywords: convex-concave nonlinearity
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6152283