Robin problems with a general potential and a superlinear reaction

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

Povzetek

We consider semilinear Robin problems driven by the negative Laplacian plus an indefinite potential and with a superlinear reaction term which need not satisfy the Ambrosett-Rabinowitz condition. We prove existence and multiplicity theorems (producing also an infinity of smooth solutions) using variational tools, truncation and perturbation techniques and Morse theory (critical groups).

Ključne besede

indefinite potential;Robin boundary condition;critical groups;superlinear reaction term;regularity theory;nodal solutions;

Podatki

Jezik:	Angleški jezik
Leto izida:	2017
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	517.956.2
COBISS:	18034521
ISSN:	0022-0396
Št. ogledov:	441
Št. prenosov:	293
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	str. 3244-3290
Letnik:	ǂVol. ǂ263
Zvezek:	ǂiss. ǂ6
Čas izdaje:	2017
DOI:	10.1016/j.jde.2017.04.032
ID:	11221201