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Multiplicity of solutions for Neumann problems with an indefinite and unbounded potential
Journal
Communications on Pure and Applied Analysis
Author
Gasiński Leszek
Papageorgiou Nikolaos S.
Volume
12
Number
5
Pages
1985-1999
ISSN
1534-0392
eISSN
1553-5258
Keywords in English
Indefinite and unbounded potential
unique continuation property
local minimizer
mountain pass theorem
Harnack inequality
critical groups
multiplicity theorems
Language
English
Journal language
English
Abstract in English
We consider a semilinear Neumann problem driven by the negative Laplacian plus an indefinite and unbounded potential and with a Carathéodory reaction term. Using variational methods based on the critical point theory, combined with Morse theory (critical groups), we prove two multiplicity theorems.
Affiliation
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
Scopus© citations
13
| cris.lastimport.wos | 2024-04-09T19:17:21Z | |
| dc.abstract.en | We consider a semilinear Neumann problem driven by the negative Laplacian plus an indefinite and unbounded potential and with a Carathéodory reaction term. Using variational methods based on the critical point theory, combined with Morse theory (critical groups), we prove two multiplicity theorems. | pl |
| dc.affiliation | Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania | pl |
| dc.contributor.author | Gasiński, Leszek - 128012 | pl |
| dc.contributor.author | Papageorgiou, Nikolaos S. | pl |
| dc.date.accessioned | 2014-07-16T05:30:03Z | |
| dc.date.available | 2014-07-16T05:30:03Z | |
| dc.date.issued | 2013 | pl |
| dc.description.number | 5 | pl |
| dc.description.physical | 1985-1999 | pl |
| dc.description.volume | 12 | pl |
| dc.identifier.doi | 10.3934/cpaa.2013.12.1985 | pl |
| dc.identifier.eissn | 1553-5258 | pl |
| dc.identifier.issn | 1534-0392 | pl |
| dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/63 | |
| dc.language | eng | pl |
| dc.language.container | eng | pl |
| dc.rights.licence | Bez licencji otwartego dostępu | |
| dc.subject.en | Indefinite and unbounded potential | pl |
| dc.subject.en | unique continuation property | pl |
| dc.subject.en | local minimizer | pl |
| dc.subject.en | mountain pass theorem | pl |
| dc.subject.en | Harnack inequality | pl |
| dc.subject.en | critical groups | pl |
| dc.subject.en | multiplicity theorems | pl |
| dc.subtype | Article | pl |
| dc.title | Multiplicity of solutions for Neumann problems with an indefinite and unbounded potential | pl |
| dc.title.journal | Communications on Pure and Applied Analysis | pl |
| dc.type | JournalArticle | pl |
| dspace.entity.type | Publication |
cris.lastimport.wos
2024-04-09T19:17:21Z dc.abstract.enpl
We consider a semilinear Neumann problem driven by the negative Laplacian plus an indefinite and unbounded potential and with a Carathéodory reaction term. Using variational methods based on the critical point theory, combined with Morse theory (critical groups), we prove two multiplicity theorems. dc.affiliationpl
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania dc.contributor.authorpl
Gasiński, Leszek - 128012 dc.contributor.authorpl
Papageorgiou, Nikolaos S. dc.date.accessioned
2014-07-16T05:30:03Z dc.date.available
2014-07-16T05:30:03Z dc.date.issuedpl
2013 dc.description.numberpl
5 dc.description.physicalpl
1985-1999 dc.description.volumepl
12 dc.identifier.doipl
10.3934/cpaa.2013.12.1985 dc.identifier.eissnpl
1553-5258 dc.identifier.issnpl
1534-0392 dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/63 dc.languagepl
eng dc.language.containerpl
eng dc.rights.licence
Bez licencji otwartego dostępu dc.subject.enpl
Indefinite and unbounded potential dc.subject.enpl
unique continuation property dc.subject.enpl
local minimizer dc.subject.enpl
mountain pass theorem dc.subject.enpl
Harnack inequality dc.subject.enpl
critical groups dc.subject.enpl
multiplicity theorems dc.subtypepl
Article dc.titlepl
Multiplicity of solutions for Neumann problems with an indefinite and unbounded potential dc.title.journalpl
Communications on Pure and Applied Analysis dc.typepl
JournalArticle dspace.entity.type
Publication Affiliations
Wydział Matematyki i Informatyki
Gasiński, Leszek
No affiliation
Papageorgiou, Nikolaos S.