Anisotropic (p,q)-equations with convex and negative concave terms

Nikolaos Socrates Papageorgiou (Avtor), Dušan Repovš (Avtor), Calogero Vetro (Avtor)

Povzetek

We consider a parametric Dirichlet problem driven by the anisotropic ▫$(p, q)$▫-Laplacian and with a reaction which exhibits the combined effects of a superlinear (convex) term and of a negative sublinear term. Using variational tools and critical groups we show that for all small values of the parameter, the problem has at least three nontrivial smooth solutions, two of which are of constant sign (positive and negative).

Ključne besede

variable Lebesgue spaces;variable Sobolev spaces;variable (p,q)-operator;regularity theory;local minimizer;critical point theory;

Podatki

Jezik:	Angleški jezik
Leto izida:	2023
Tipologija:	1.16 - Samostojni znanstveni sestavek ali poglavje v monografski publikaciji
Organizacija:	UL PEF - Pedagoška fakulteta
UDK:	517.9
COBISS:	154485507
Št. ogledov:	61
Št. prenosov:	3
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Konec prepovedi (OpenAIRE):	2025-05-18
Strani:	Str. 425-441
DOI:	10.1007/978-3-031-20021-2_21
ID:	19325628