Anisotropic equations with indefinite potential and competing nonlinearities

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

Povzetek

We consider a nonlinear Dirichlet problem driven by a variable exponent ▫$p$▫-Laplacian plus an indefinite potential term. The reaction has the competing effects of a parametric concave (sublinear) term and a convex (superlinear) perturbation (the anisotropic concave-convex problem). We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the positive parameter ▫$\lambda$▫ varies. Also, we prove the existence of minimal positive solutions.

Ključne besede

variable exponent spaces;regularity theory;maximum principle;concave and convex nonlinearities;positive solutions;comparison principles;

Podatki

Jezik:	Angleški jezik
Leto izida:	2020
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	517.956
COBISS:	18953305
ISSN:	0362-546X
Št. ogledov:	360
Št. prenosov:	202
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	art. 111861 (24 str.)
Zvezek:	ǂVol. ǂ201
Čas izdaje:	Dec. 2020
DOI:	10.1016/j.na.2020.111861
ID:	12036911