Nodal solutions for the Robin ▫$p$▫-Laplacian plus an indefinite potential and a general reaction term

Papageorgiou, Nikolaos S. (avtor), Rǎdulescu, Vicenţiu (avtor), Repovš, Dušan (avtor)

We consider a nonlinear Robin problem driven by the ▫$p$▫-Laplacian plus an indefinite potential. The reaction term is of arbitrary growth and only conditions near zero are imposed. Using critical point theory together with suitable truncation and perturbation techniques and comparison principles, we show that the problem admits a sequence of distinct smooth nodal solutions converging to zero in ▫$C^1(\overline{\Omega})$▫.

• Jezik: Angleški jezik
• Ključne besede: Robin p-Laplacian, indefinite potential, nodal solutions, truncation techniques, comparison principle
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2018
• Št. strani: Str. 231-241
• Številčenje: Vol. 17, no. 1
• PID: 20.500.12556/RUL-109144
• UDK: 517.956.2
• ISSN pri članku: 1534-0392
• DOI: 10.3934/cpaa.2018014
• COBISS.SI-ID: 18124633
• Datum objave v RUL: 23.08.2019

Gradivo je del revije

• Naslov: Communications on pure and applied analysis
• Skrajšan naslov: Commun. pure appl. anal.
• Založnik: AIMS Press
• ISSN: 1534-0392
• COBISS.SI-ID: 15066457