On the eigenvalue problem for the \(p\)-Laplacian operator in \(\mathbb R^N\)
type: Item
instance of: scholarly article
title: On the eigenvalue problem for the \(p\)-Laplacian operator in \(\mathbb R^N\)
zbMATH Open document ID: 1216.35083
author: Xiangqing Liu
author: Jia-Quan Liu
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-04-20T00:00:00Z
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 5880896
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: Pohožaev identity
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.01.075
OpenAlex ID: W1993298799
cites work: Q4497351
cites work: Q3999241
cites work: Positive Eigenfunctions of a Schrödinger Operator
cites work: On spectral theory of elliptic operators
cites work: Q4185363
cites work: On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
cites work: Eigenvalue problems for the \(p\)-Laplacian
cites work: Q4856930
cites work: On an asymptotically \(p\)-linear \(p\)-Laplacian equation in \(\mathbb R^N\)
cites work: Q5516356
cites work: Q3027501
cites work: Q4693702
cites work: Generalized Pohožaev and Pucci-Serrin identities and non-existence results for \(p(x)\)-Laplacian type equations
cites work: Best constant in Sobolev inequality
cites work: Q3480508
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
cites work: Positive solutions for nonlinear Schrödinger equations with deepening potential well
cites work: Sign-changing solutions for an asymptotically linear Schrödinger equation with deepening potential well
cites work: Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations
cites work: Nodal solutions of a p-Laplacian equation
DOI: 10.1016/J.JMAA.2011.01.075
description: scientific article; zbMATH DE number 5880896