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

Povzetek

We consider a nonlinear Robin problem driven by the ▫$p$▫-Laplacian. In the reaction we have the competing effects of two nonlinearities. One term is parametric, strictly ▫$(p-1)$▫-sublinear and the other one is ▫$(p-1)$▫-linear and resonant at any nonprincipal variational eigenvalue. Using variational tools from the critical theory (critical groups), we show that for all big values of the parameter ▫$\lambda$▫ the problem has at least five nontrivial smooth solutions.

Ključne besede

indefinite and unbounded potential;critical groups;multiple solutions;nonlinear regularity;resonance;Robin boundary condition;strong comparison;truncation;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 517.956.2
COBISS: 18720857 Povezava se bo odprla v novem oknu
ISSN: 0025-584X
Št. ogledov: 505
Št. prenosov: 169
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Vrsta dela (COBISS): Članek v reviji
Konec prepovedi (OpenAIRE): 2020-12-04
Strani: str. 2456-2480
Letnik: ǂVol. ǂ292
Zvezek: ǂiss. ǂ11
Čas izdaje: Nov. 2019
DOI: 10.1002/mana.201800505
ID: 11319104