Entire solutions and global bifurcations for a biharmonic equation with singular non-linearity in \(\mathbb{R}^3\)
type: Item
instance of: scholarly article
title: Entire solutions and global bifurcations for a biharmonic equation with singular non-linearity in \(\mathbb{R}^3\)
zbMATH Open document ID: 1203.35018
author: Zongming Guo
author: Juncheng Wei
published in: Advances in Differential Equations
publication date: 2009-06-30T00:00:00Z
review text: The first part of the paper is devoted to studying existence, uniqueness and asymptotic behaviour of radial solutions of the biharmonic equation \( - \Delta ^{2} u = u ^{-2}\) in \( {\mathbb R}^{2} \) and \( {\mathbb R}^{3} \). Applications are given, in the second part of the paper, to studying the structure of solutions of the boundary value problem \( \Delta ^{2}u= \lambda /(1 - u ) ^{2}\), \(u= \Delta u=0\) on \( \partial B\) where \(B\) is the unit ball in \( {\mathbb R}^{3} \).
reviewed by: Otto Liess
Mathematics Subject Classification ID: 35B08
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35J75
zbMATH DE Number: 5572594
zbMATH Keywords: radial solutions
zbMATH Keywords: turning points
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5572594