Bifurcation for nonlinear elliptic problems with singular potentials
type: Item
instance of: scholarly article
title: Bifurcation for nonlinear elliptic problems with singular potentials
zbMATH Open document ID: 1468.35017
author: Weibing Wang
author: Mingzhu Huang
published in: Applied Mathematics Letters
publication date: 2021-04-28T00:00:00Z
review text: Bifurcation for the following elliptic problem with singular potentials \[ \left \{ \begin{array}{ll} -\Delta u-\frac{(N-2)^2u}{4|x|^2}= \frac{\lambda f(u)}{|x|^{\beta}}& \mbox{ in }\Omega, \\ u = \, 0 \ & \mbox{ on }\ \partial \Omega, \end{array} \right. \] where \(\Omega\) is a smooth bounded domain in \(\mathbb R^N\) containing the origin with \(N\ge 3\), \(0<\beta<1\), and \(\lambda\) is a real parameter, is studied under certain conditions on the real function \(f\).
reviewed by: In-Sook Kim
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J61
zbMATH DE Number: 7340757
zbMATH Keywords: bifurcation
zbMATH Keywords: singularity
zbMATH Keywords: positive solution
MaRDI profile type: Publication
full work available at URL: j.aml.2021.107053
OpenAlex ID: W3128155603
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DOI: 10.1016/J.AML.2021.107053
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description: scientific article; zbMATH DE number 7340757