Existence and multiplicity of solutions for double-phase Robin problems

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

We consider a double phase Robin problem with a Carathéodory nonlinearity. When the reaction is superlinear but without satisfying the Ambrosetti-Rabinowitz condition, we prove an existence theorem. When the reaction is resonant, we prove a multiplicity theorem. Our approach is Morse theoretic, using the notion of homological local linking.

• Jezik: Angleški jezik
• Ključne besede: double phase Robin problem, Carathéodory nonlinearity, existence theorem, superlinear case, positive solutions, resonant case
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2020
• Št. strani: Str. 546-560
• Številčenje: Vol. 52, iss. 3
• PID: 20.500.12556/RUL-116684
• UDK: 517.956
• ISSN pri članku: 0024-6093
• DOI: 10.1112/blms.12347
• COBISS.SI-ID: 16036355
• Datum objave v RUL: 03.06.2020

Gradivo je del revije

• Naslov: Bulletin of the London Mathematical Society
• Skrajšan naslov: Bull. Lond. Math. Soc.
• Založnik: Wiley, London Mathematical Society
• ISSN: 0024-6093
• COBISS.SI-ID: 25154560