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

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

Povzetek

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.

Ključne besede

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

Podatki

Jezik:	Angleški jezik
Leto izida:	2020
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	517.956.2
COBISS:	22444547
ISSN:	1422-6383
Št. ogledov:	464
Št. prenosov:	215
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	art. 116 (22 str.)
Letnik:	ǂVol. ǂ75
Zvezek:	ǂiss. ǂ3
Čas izdaje:	Sep. 2020
DOI:	10.1007/s00025-020-01234-z
ID:	11959889