Asymptotic behavior of positive solutions of a semilinear polyharmonic problem in the unit ball
type: Item
instance of: scholarly article
title: Asymptotic behavior of positive solutions of a semilinear polyharmonic problem in the unit ball
zbMATH Open document ID: 1235.35105
author: Abdelwaheb Dhifli
author: Zagharide Zine El Abidine
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2011-12-08T00:00:00Z
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 5987795
zbMATH Keywords: Green function
zbMATH Keywords: Kato class
zbMATH Keywords: positive solution
zbMATH Keywords: nonlinear polyharmonic equation
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: Schauder fixed point theorem
MaRDI profile type: Publication
full work available at URL: j.na.2011.08.064
OpenAlex ID: W2036929264
cites work: Exact asymptotic behavior near the boundary to the solution for singular nonlinear Dirichlet problems
cites work: On a dirichlet problem with a singular nonlinearity
cites work: Extremal singular solutions for degenerate logistic-type equations in anisotropic media
cites work: Entire solutions of singular elliptic equations
cites work: On a Singular Nonlinear Elliptic Boundary-Value Problem
cites work: Existence and estimates of solutions for singular nonlinear elliptic problems
cites work: Asymptotic behavior of positive solutions of a singular nonlinear Dirichlet problem
cites work: Asymptotic behavior of positive solutions of a semilinear Dirichlet problem
cites work: The asymptotic behaviour of the unique solution for the singular Lane-Emden-Fowler equation
cites work: Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems
cites work: Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
cites work: Estimates for the Green function and singular solutions for polyharmonic nonlinear equation
cites work: Existence of positive bounded solutions for some nonlinear polyharmonic elliptic systems
cites work: Regularly varying functions
cites work: Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions
cites work: Q4469861
DOI: 10.1016/J.NA.2011.08.064
description: scientific article; zbMATH DE number 5987795