Singular solutions of the elliptic equation \(\Delta u- u+u^ p =0\)
type: Item
instance of: scholarly article
title: Singular solutions of the elliptic equation \(\Delta u- u+u^ p =0\)
zbMATH Open document ID: 0810.35028
DOI: 10.1007/BF01765635
author: Yingfei Yi
author: Russell Johnson
author: Xingbin Pan
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1995-02-06T00:00:00Z
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 711479
zbMATH Keywords: semilinear elliptic equation
zbMATH Keywords: infinitely many singular solutions
MaRDI profile type: Publication
cites work: Q3341253
cites work: On the existence and structure of stationary states for a nonlinear Klein-Gordon equation
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions
cites work: Symmetry and related properties via the maximum principle
cites work: Q3923023
cites work: Singular ground states of semilinear elliptic equations via invariant manifold theory
cites work: Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
cites work: Isolated singularities in semilinear problems
cites work: On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
cites work: Large amplitude stationary solutions to a chemotaxis system
cites work: Asymptotic behaviour of positive solutions of elliptic equations with critical and supercritical growth. I: The radial case
cites work: Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)
cites work: Q3961209
cites work: Q3767728
cites work: Q5328310
cites work: Nonexistence theorems for singular solutions of quasilinear partial differential equations
cites work: On the Neumann Problem for Some Semilinear Elliptic Equations and Systems of Activator-Inhibitor Type
cites work: Existence of singular solutions of semilinear elliptic equation in \(R^ n\)
cites work: Uniqueness of non-negative solutions of semilinear equations in \({\mathbb{R}}^ n\)
cites work: Q3360521
full work available at URL: https://doi.org/10.1007/bf01765635
OpenAlex ID: W2087666731
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description: scientific article; zbMATH DE number 711479