Existence results for quasilinear elliptic systems in ℝN

Stavrakakis, NM; Zographopoulos, NB

dc.contributor.author	Stavrakakis, NM	en
dc.contributor.author	Zographopoulos, NB	en
dc.date.accessioned	2014-03-01T01:14:35Z
dc.date.available	2014-03-01T01:14:35Z
dc.date.issued	1999	en
dc.identifier.issn	10726691	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13167
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dc.relation.uri	http://www.math.ntua.gr/%7Estavraka/PDF%20files/a19.pdf	en
dc.relation.uri	http://ejde.math.txstate.edu/Volumes/1999/39/stavrakakis.pdf	en
dc.relation.uri	http://ftp.gwdg.de/pub/misc/EMIS/journals/EJDE/Volumes/1999/39/stavrakakis.pdf	en
dc.relation.uri	http://www.emis.math.ca/EMIS/journals/EJDE/Volumes/1999/39/stavrakakis.pdf	en
dc.relation.uri	http://emis.maths.tcd.ie/EMIS/journals/EJDE/Volumes/1999/39/stavrakakis.pdf	en
dc.relation.uri	http://emis.luc.ac.be/EMIS/journals/EJDE/Volumes/1999/39/stavrakakis.pdf	en
dc.subject	Homogeneous Sobolev spaces	en
dc.subject	Maximum principle	en
dc.subject	Nonlinear eigenvalue problems	en
dc.subject	p-Laplacian	en
dc.subject	Palais-Smale Condition	en
dc.title	Existence results for quasilinear elliptic systems in ℝN	en
heal.type	journalArticle	en
heal.publicationDate	1999	en
heal.abstract	We prove existence results for the quasilinear elliptic system -Δpu = λa(x)\|u\|γ-2u + λb(x)\|u\|α-1\|v\|β+1u, - Δqv = λd(x)\|v\|δ-2v + λb(x)\|u\|α+1\|v\|β-1v, where γ and δ may reach the critical Sobolev exponents, and the coefficient functions a, b, and d may change sign. For the unperturbed system (a = 0, b = 0), we establish the existence and simplicity of a positive principal eigenvalue, under the assumption that u(x) > 0, v(x) > 0, and lim \|x\|→∞ u(x) = lim\|x\|→∞ u(x) = 0.	en
heal.journalName	Electronic Journal of Differential Equations	en
dc.identifier.volume	1999	en
dc.identifier.spage	1	en
dc.identifier.epage	15	en