Global bifurcation results on degenerate quasilinear elliptic systems

Poulou, MN; Stavrakakis, NM; Zographopoulos, NB

dc.contributor.author	Poulou, MN	en
dc.contributor.author	Stavrakakis, NM	en
dc.contributor.author	Zographopoulos, NB	en
dc.date.accessioned	2014-03-01T01:26:24Z
dc.date.available	2014-03-01T01:26:24Z
dc.date.issued	2007	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18063
dc.subject	Degenerate equations	en
dc.subject	Global bifurcation (Rabinowitz)	en
dc.subject	Quasilinear elliptic systems	en
dc.subject	Topological degree	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Problem solving	en
dc.subject.other	Set theory	en
dc.subject.other	Theorem proving	en
dc.subject.other	Topology	en
dc.subject.other	Degenerate equations	en
dc.subject.other	Quasilinear elliptic systems	en
dc.subject.other	Topological degrees	en
dc.subject.other	Nonlinear systems	en
dc.title	Global bifurcation results on degenerate quasilinear elliptic systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2005.11.033	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2005.11.033	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper we prove certain bifurcation results for the following degenerate quasilinear system -del(v(1)(x)vertical bar del u vertical bar(p-2) del u) = lambda a(x)vertical bar u vertical bar(p-2)u + lambda b(x)vertical bar u vertical bar(alpha)vertical bar v vertical bar(beta)v + f (x, lambda, u, v), -del(v(2)(x)vertical bar del u vertical bar(p-2) del u) = lambda d (x)vertical bar v vertical bar(q-2)v + lambda b(x)vertical bar u vertical bar(alpha)vertical bar v vertical bar(beta)u + g(x, lambda, u, v), x is an element of Omega, u vertical bar(partial derivative Omega) = v vertical bar(partial derivative Omega) = 0, where Omega is a bounded and connected subset of RN, with N >= 2. This is achieved by applying topological degree and global bifurcation theory (in the sense of Rabinowitz). (c) 2005 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2005.11.033	en
dc.identifier.isi	ISI:000242444800018	en
dc.identifier.volume	66	en
dc.identifier.issue	1	en
dc.identifier.spage	214	en
dc.identifier.epage	227	en