Journal für die reine und angewandte Mathematik (Crelles Journal)

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Issue: Jul 2008

Volume 2008, Number 620

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Finite Morse index solutions of supercritical problems

E. N. Dancer¹

¹ School of Mathematics and Statistics, The University of Sydney, NSW 2006, Australia. e-mail:

Citation Information. Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2008, Issue 620, Pages 213–233, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/CRELLE.2008.055, /July/2008

Publication History: Received: 06/12/2005; revised: 03/05/2007; published online: 16/07/2008

Abstract

We discuss finite Morse index solutions of –Δu = f(u) on the whole space or half spaces and their application to bounded domain problems. Our main interest is to cases where the growth is faster than critical.

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