Eigenvalue problems for indefinite-weight linear elliptic equations in ℝN

Stavrakakis, NM

dc.contributor.author	Stavrakakis, NM	en
dc.date.accessioned	2014-03-01T01:11:55Z
dc.date.available	2014-03-01T01:11:55Z
dc.date.issued	1996	en
dc.identifier.issn	0044-2267	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11866
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-33749482324&partnerID=40&md5=62cbee7e9496a13e61c94c90689d060c	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.title	Eigenvalue problems for indefinite-weight linear elliptic equations in ℝN	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	In this paper we are going to discuss the existence of positive eigenvalues of a linear polyharmonic equation on all of R(N). A weight function g is an element of L(N/2m)(R(N)) is present in the equation, which changes sign on R(N). The eigenfunction. space is characterised in terms of the ''energy norm'' as well as an equivalent ''weighted norm''. First, the positivity, the regularity, the decay at infinity, and the simplicity of the associated eigenfunctions are discussed, for the Laplace.	en
heal.publisher	AKADEMIE VERLAG GMBH	en
heal.journalName	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik	en
dc.identifier.isi	ISI:A1996VK35900229	en
dc.identifier.volume	76	en
dc.identifier.issue	SUPPL. 2	en
dc.identifier.spage	683	en
dc.identifier.epage	684	en