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Superlinear perturbations of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential
Papageorgiou, Nikolaos (Author), Rǎdulescu, Vicenţiu (Author), Repovš, Dušan (Author)

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Abstract
We consider a superlinear perturbation of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential. Using variational tools and critical groups, we show that when ▫$\lambda$▫ is close to a nonprincipal eigenvalue, then the problem has seven nontrivial solutions. We provide sign information for six of them.

Language:English
Keywords:superlinear perturbation, regularity theory, maximum principle, constant sign and nodal solutions, critical groups, indefinite potential
Work type:Article (dk_c)
Tipology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
Year:2020
Number of pages:art. 116 (22 str.)
Numbering:Vol. 75, iss. 3
UDC:517.956.2
ISSN on article:1422-6383
DOI:10.1007/s00025-020-01234-z Link is opened in a new window
COBISS.SI-ID:22444547 Link is opened in a new window
Views:190
Downloads:141
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Record is a part of a journal

Title:Results in mathematics
Shortened title:Results math.
Publisher:Birkhäuser
ISSN:1422-6383
COBISS.SI-ID:514963225 This link opens in a new window

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