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Anisotropic $(p,q)$-equations with convex and negative concave terms
ID Papageorgiou, Nikolaos S. (Author), ID Repovš, Dušan (Author), ID Vetro, Calogero (Author)

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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).

Language:English
Keywords:variable Lebesgue spaces, variable Sobolev spaces, variable ▫$(p,q)$▫-operator, regularity theory, local minimizer, critical point theory
Typology:1.16 - Independent Scientific Component Part or a Chapter in a Monograph
Organization:PEF - Faculty of Education
FMF - Faculty of Mathematics and Physics
Publication status:Published
Publication version:Author Accepted Manuscript
Year:2023
Number of pages:Str. 425-441
PID:20.500.12556/RUL-146994 This link opens in a new window
UDC:517.9
DOI:10.1007/978-3-031-20021-2_21 This link opens in a new window
COBISS.SI-ID:154485507 This link opens in a new window
Publication date in RUL:19.06.2023
Views:450
Downloads:8
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Record is a part of a monograph

Title:Recent advances in mathematical analysis : celebrating the 70th anniversary of Francesco Altomare
Editors:Anna Maria Candela, Mirella Cappelletti Montano, Elisabetta Mangino
Place of publishing:Cham
Publisher:Birkhäuser, Springer Nature
Year:2023
ISBN:978-3-031-20020-5
COBISS.SI-ID:154457859 This link opens in a new window
Collection title:Trends in mathematics

Projects

Funder:ARRS - Slovenian Research Agency
Project number:P1-0292
Name:Topologija in njena uporaba

Funder:ARRS - Slovenian Research Agency
Project number:J1-4031
Name:Računalniška knjižnica za zavozlane strukture in aplikacije

Funder:ARRS - Slovenian Research Agency
Project number:J1-4001
Name:Izbrani problemi iz uporabne in računske topologije

Funder:ARRS - Slovenian Research Agency
Project number:N1-0278
Name:Biološka koda vozlov - identifikacija vzorcev vozlanja v biomolekulah z uporabo umetne inteligence

Funder:ARRS - Slovenian Research Agency
Project number:N1-0114
Name:Algebrajski odtisi geometrijskih značilnosti v homologiji

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