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

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

Abstract

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).

Keywords

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

Data

Language:	English
Year of publishing:	2023
Typology:	1.16 - Independent Scientific Component Part or a Chapter in a Monograph
Organization:	UL PEF - Faculty of Education
UDC:	517.9
COBISS:	154485507
Views:	61
Downloads:	3
Average score:	0 (0 votes)
Metadata:

Other data

Embargo end date (OpenAIRE):	2025-05-18
Pages:	Str. 425-441
DOI:	10.1007/978-3-031-20021-2_21
ID:	19325628