Nodal solutions for nonlinear nonhomogeneous Robin problems

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

We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator plus an indefinite potential. The reaction term is a Carathéodory function satisfying certain conditions only near zero. Using suitable truncation, comparison and cut-off techniques, we show that the problem has a sequence of nodal solutions converging to zero in the ▫$C^1(\overline{\Omega})$▫-norm.

• Jezik: Angleški jezik
• Ključne besede: nodal solutions, indefinite potential, nonhomogeneous differential operator, nonlinear regularity theory, truncation and cut-off techniques
• 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. 721-738
• Številčenje: Vol. 29, iss. 4
• PID: 20.500.12556/RUL-109291
• UDK: 517.956
• ISSN pri članku: 1120-6330
• DOI: 10.4171/RLM/831
• COBISS.SI-ID: 18514777
• Datum objave v RUL: 29.08.2019

Gradivo je del revije

• Naslov: Atti della Accademia nazionale dei Lincei
• Skrajšan naslov: Atti Accad. naz. Lincei, Rend. Lincei, Mat. appl.
• Založnik: Accademia nazionale dei Lincei, EMS Publishing House
• ISSN: 1120-6330
• COBISS.SI-ID: 15928665