On doubly nonlocal fractional elliptic equations

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

Povzetek

This work is devoted to the study of the existence of solutions to nonlocal equations involving the fractional Laplacian. These equations have a variational structure and we find a nontrivial solution for them using the Mountain Pass Theorem. To make the nonlinear methods work, some careful analysis of the fractional spaces involved is necessary. In addition, we require rather general assumptions on the local operator. As far as we know, this result is new and represent a fractional version of a classical theorem obtained working with Laplacian equations.

Ključne besede

partial differential equations;quasilinear elliptic equations;nonlocal problems;fractional equations;Mountain Pass Theorem;

Podatki

Jezik:	Angleški jezik
Leto izida:	2015
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	517.956
COBISS:	17294425
ISSN:	1120-6330
Št. ogledov:	561
Št. prenosov:	369
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	str. 161-176
Letnik:	ǂVol. ǂ26
Zvezek:	ǂiss. ǂ2
Čas izdaje:	2015
DOI:	http://dx.doi.org/10.4171/RLM/700
ID:	11233722