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

Povzetek

We study a nonlinear boundary value problem driven by the ▫$p$▫-Laplacian plus an indefinite potential with Robin boundary condition. The reaction term is a Carathéodory function which is asymptotically resonant at ▫$\pm \infty$▫ with respect to a nonprincipal Ljusternik-Schnirelmann eigenvalue. Using variational methods, together with Morse theory and truncation-perturbation techniques, we show that the problem has at least three nontrivial smooth solutions, two of which have a fixed sign.

Ključne besede

p-Laplacian;Robin boundary condition;resonance;critical groups;multiple nontrivial smooth solutions;indefinite potential;

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: 18019929 Povezava se bo odprla v novem oknu
ISSN: 0944-2669
Št. ogledov: 433
Št. prenosov: 313
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
Strani: art. 63 [23 str.]
Letnik: ǂVol. ǂ56
Zvezek: ǂiss. ǂ3
Čas izdaje: June 2017
DOI: http://dx.doi.org/10.1007/s00526-017-1164-2
ID: 11221175