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

Papageorgiou, Nikolaos S. (avtor), Rǎdulescu, Vicenţiu (avtor), Repovš, Dušan (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: superlinear perturbation, regularity theory, maximum principle, constant sign and nodal solutions, critical groups, indefinite potential
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2020
• Št. strani: art. 116 (22 str.)
• Številčenje: Vol. 75, iss. 3
• PID: 20.500.12556/RUL-118046
• UDK: 517.956.2
• ISSN pri članku: 1422-6383
• DOI: 10.1007/s00025-020-01234-z
• COBISS.SI-ID: 22444547
• Datum objave v RUL: 17.08.2020

Gradivo je del revije

• Naslov: Results in mathematics
• Skrajšan naslov: Results math.
• Založnik: Springer Nature
• ISSN: 1422-6383
• COBISS.SI-ID: 514963225