Nonlinear problems on the Sierpiński gasket

Giovanni Molica Bisci (Avtor), Dušan Repovš (Avtor), Raffaella Servadei (Avtor)

Povzetek

This paper concerns with a class of elliptic equations on fractal domains depending on a real parameter. Our approach is based on variational methods. More precisely, the existence of at least two non-trivial weak (strong) solutions for the treated problem is obtained exploiting a local minimum theorem for differentiable functionals defined on reflexive Banach spaces. A special case of the main result improves a classical application of the Mountain Pass Theorem in the fractal setting, given by Falconer and Hu in [K. J. Falconer, J. Hu, Nonlinear elliptic equations on the Sierpiński gasket, J. Math. Anal. Appl. 240 (1999) 552-573].

Ključne besede

Sierpiński gasket;fractal domains;nonlinear elliptic equation;weak Laplacian;

Podatki

Jezik:	Angleški jezik
Leto izida:	2017
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL PEF - Pedagoška fakulteta
UDK:	517.95
COBISS:	17994841
ISSN:	0022-247X
Št. ogledov:	509
Št. prenosov:	319
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	str. 883-895
Letnik:	ǂVol. ǂ452
Zvezek:	ǂiss. ǂ2
Čas izdaje:	2017
DOI:	10.1016/j.jmaa.2017.03.032
ID:	11220308