Nodal solutions for the Robin p-Laplacian plus an indefinite potential and a general reaction term

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

Povzetek

We consider a nonlinear Robin problem driven by the ▫$p$▫-Laplacian plus an indefinite potential. The reaction term is of arbitrary growth and only conditions near zero are imposed. Using critical point theory together with suitable truncation and perturbation techniques and comparison principles, we show that the problem admits a sequence of distinct smooth nodal solutions converging to zero in ▫$C^1(\overline{\Omega})$▫.

Ključne besede

Robin p-Laplacian;indefinite potential;nodal solutions;truncation techniques;comparison principle;

Podatki

Jezik:	Angleški jezik
Leto izida:	2018
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	517.956.2
COBISS:	18124633
ISSN:	1534-0392
Št. ogledov:	501
Št. prenosov:	318
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	str. 231-241
Letnik:	ǂVol. ǂ17
Zvezek:	ǂno. ǂ1
Čas izdaje:	2018
DOI:	10.3934/cpaa.2018014
ID:	11206829