On a class of parametric (p, 2)-equations

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

Povzetek

We consider parametric equations driven by the sum of a ▫$p$▫-Laplacian and a Laplace operator (the so-called ▫$(p, 2)$▫-equations). We study the existence and multiplicity of solutions when the parameter ▫$\lambda > 0$▫ is near the principal eigenvalue ▫$\hat{\lambda}_1(p) > 0$▫ of ▫$(-\Delta_p,W^{1-p}_0(\Omega))$▫. We prove multiplicity results with precise sign information when the near resonance occurs from above and from below of ▫$\hat{\lambda}_1(p) > 0$▫.

Ključne besede

near resonance;local minimizer;critical group;constant sign and nodal solutions;nonlinear maximum principle;

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:	17592153
ISSN:	0095-4616
Št. ogledov:	436
Št. prenosov:	322
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	str. 193-228
Letnik:	ǂVol. ǂ75
Zvezek:	ǂiss. ǂ2
Čas izdaje:	Apr. 2017
DOI:	10.1007/s00245-016-9330-z
ID:	11221108