Superlinear perturbations of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential

Nikolaos Socrates Papageorgiou (Author), Vicenţiu Rǎdulescu (Author), Dušan Repovš (Author)

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.

Keywords

superlinear perturbation;regularity theory;maximum principle;constant sign and nodal solutions;critical groups;indefinite potential;

Data

Language:	English
Year of publishing:	2020
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	517.956.2
COBISS:	22444547
ISSN:	1422-6383
Views:	464
Downloads:	215
Average score:	0 (0 votes)
Metadata:

Other data

Type (COBISS):	Article
Pages:	art. 116 (22 str.)
Volume:	ǂVol. ǂ75
Issue:	ǂiss. ǂ3
Chronology:	Sep. 2020
DOI:	10.1007/s00025-020-01234-z
ID:	11959889