Multiple nontrivial solutions for semilinear elliptic problems

Barletta, G; Papageorgiou, NS

dc.contributor.author	Barletta, G	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T11:45:00Z
dc.date.available	2014-03-01T11:45:00Z
dc.date.issued	2009	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/37214
dc.subject	Critical groups	en
dc.subject	Critical point theory	en
dc.subject	Multiple solutions	en
dc.subject	Nodal solutions	en
dc.subject	Poincaré-Hopf formula	en
dc.subject	Solutions of constant sign	en
dc.subject	Truncations	en
dc.subject	Upper and lower solutions	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Critical groups	en
dc.subject.other	Critical point theory	en
dc.subject.other	Multiple solutions	en
dc.subject.other	Nodal solutions	en
dc.subject.other	Truncations	en
dc.subject.other	Upper and lower solutions	en
dc.subject.other	Equations of state	en
dc.subject.other	Linear equations	en
dc.subject.other	Variational techniques	en
dc.subject.other	Point groups	en
dc.title	Multiple nontrivial solutions for semilinear elliptic problems	en
heal.type	other	en
heal.identifier.primary	10.1016/j.na.2009.03.038	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2009.03.038	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We study the existence of multiple constant sign and nodal (sign-changing) solutions for semilinear elliptic equations. Our approach is based on a combination of variational techniques using critical point theory, of the method of upper-lower solutions and of Morse theory (critical groups). We prove several multiplicity results. Our analytical framework incorporates both coercive and superlinear parametric problems. (C) 2009 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.2009.03.038	en
dc.identifier.isi	ISI:000269140700001	en
dc.identifier.volume	71	en
dc.identifier.issue	10	en
dc.identifier.spage	4321	en
dc.identifier.epage	4345	en