Estimates for the Green function and singular solutions for polyharmonic nonlinear equation
type: Item
instance of: scholarly article
title: Estimates for the Green function and singular solutions for polyharmonic nonlinear equation
zbMATH Open document ID: 1129.35348
DOI: 10.1155/S1085337503209039
author: Imed Bachar
author: Syrine Masmoudi
author: Malek Zribi
author: Habib Mâagli
published in: Abstract and Applied Analysis
publication date: 2005-04-29T00:00:00Z
full work available at URL: https://eudml.org/doc/53694
review text: Summary: We establish a new form of the \(3G\) theorem for polyharmonic Green function on the unit ball of \(\mathbb{R}^n (n\geq 2)\) corresponding to zero Dirichlet boundary conditions. This enables us to introduce a new class of functions \(K_{m,n}\) containing properly the classical Kato class \(K_n\). We exploit properties of functions belonging to \(K_{m,n}\) to prove an infinite existence result of singular positive solutions for nonlinear elliptic equation of order \(2m\).
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 35A08
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 2163611
MaRDI profile type: Publication
OpenAlex ID: W2070997742
description: scientific article; zbMATH DE number 2163611