Sign-charging solutions for \(p\)-Laplacian equations with jumping nonlinearity and the Fučik spectrum
type: Item
instance of: scholarly article
title: Sign-charging solutions for \(p\)-Laplacian equations with jumping nonlinearity and the Fučik spectrum
zbMATH Open document ID: 1368.35152
DOI: 10.12775/TMNA.2016.041
author: Ming Xiong
author: Ze-Heng Yang
author: Xiangqing Liu
published in: Topological Methods in Nonlinear Analysis
publication date: 2017-04-04T00:00:00Z
review text: The authors prove existence of sign-changing solutions to the \(p\)-Laplace type equation \[ -\Delta_pu+\lambda g(x)|u|^{p-2}u=f(u)\quad x\in \mathbb{R}^N, \] with a positive parameter \(\lambda\) and a right-hand side \(f(u)\) exhibiting jumping nonlinearities at infinity which is superlinear at \(u=0.\) The proof relies on the Fučik spectrum and the authors give sufficient conditions ensuring its existence.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 6700553
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: sign-changing solution
zbMATH Keywords: Fučik spectrum
zbMATH Keywords: jumping nonlinearity
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6700553