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

Papageorgiou, Nikolaos S. (avtor), Repovš, Dušan (avtor), Vetro, Calogero (avtor)

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).

• Jezik: Angleški jezik
• Ključne besede: variable Lebesgue spaces, variable Sobolev spaces, variable ▫$(p,q)$▫-operator, regularity theory, local minimizer, critical point theory
• Tipologija: 1.16 - Samostojni znanstveni sestavek ali poglavje v monografski publikaciji
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2023
• Št. strani: Str. 425-441
• PID: 20.500.12556/RUL-146994
• UDK: 517.9
• DOI: 10.1007/978-3-031-20021-2_21
• COBISS.SI-ID: 154485507
• Datum objave v RUL: 19.06.2023

Gradivo je del monografije

• Naslov: Recent advances in mathematical analysis : celebrating the 70th anniversary of Francesco Altomare
• Uredniki: Anna Maria Candela, Mirella Cappelletti Montano, Elisabetta Mangino
• Kraj izida: Cham
• Založnik: Birkhäuser, Springer Nature
• Leto izida: 2023
• ISBN: 978-3-031-20020-5
• COBISS.SI-ID: 154457859
• Naslov zbirke: Trends in mathematics