A finite-dimensional reduction method for slightly supercritical elliptic problems
type: Item
instance of: scholarly article
title: A finite-dimensional reduction method for slightly supercritical elliptic problems
zbMATH Open document ID: 1133.35360
DOI: 10.1155/S1085337504310031
author: Riccardo Molle
author: Donato Passaseo
published in: Abstract and Applied Analysis
publication date: 2005-04-29T00:00:00Z
full work available at URL: https://eudml.org/doc/53868
review text: Summary: We describe a finite-dimensional reduction method to find solutions for a class of slightly supercritical elliptic problems. A suitable truncation argument allows us to work in the usual Sobolev space even in the presence of supercritical nonlinearities: we modify the supercritical term in such a way to have subcritical approximating problems; for these problems, the finite-dimensional reduction can be obtained applying the methods already developed in the subcritical case; finally, we show that, if the truncation is realized at a sufficiently large level, then the solutions of the approximating problems, given by these methods, also solve the supercritical problems when the parameter is small enough.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 2163682
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2163682