(p,2)-equations asymmetric at both zero and infinity

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

Povzetek

We consider a ▫$(p,2)$▫-equation, that is, a nonlinear nonhomogeneous elliptic equation driven by the sum of a ▫$p$▫-Laplacian and a Laplacian with ▫$p>2$▫. The reaction term is ▫$(p-1)$▫-linear, but exhibits asymmetric behavior at ▫$\pm \infty$▫ and at ▫$0^\pm$▫. Using variational tools, together with truncation and comparison techniques and Morse theory, we prove two multiplicity theorems, one of them providing sign information for all the solutions (positive, negative, nodal).

Ključne besede

asymmetric reaction;resonance;Fučik spectrum;constant sign solutions;nodal solution;critical groups;Morse relation;

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:	18174297
ISSN:	2191-9496
Št. ogledov:	479
Št. prenosov:	271
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	str. 327-351
Letnik:	ǂVol. ǂ7
Zvezek:	ǂiss. ǂ3
Čas izdaje:	2018
DOI:	10.1515/anona-2017-0195
ID:	11207989