Nonlocal Kirchhoff superlinear equations with indefinite nonlinearity and lack of compactness

Li, Lin (avtor), Rǎdulescu, Vicenţiu (avtor), Repovš, Dušan (avtor)

We study the following Kirchhoff equation ▫$$ - \left( 1 + b \int_{\mathbb{R}^3} |\nabla u|^2 dx \right) \Delta u + V(x) u = f(x,u), \quad x \in \mathbb{R}^3. $$▫ A feature of this paper is that the nonlinearity ▫$f$▫ and the potential ▫$V$▫ are indefinite, hence sign-changing. Under some appropriate assumptions on ▫$V$▫ and ▫$f$▫, we prove the existence of two different solutions of the equation via the Ekeland variational principle and the mountain pass theorem.

• Jezik: Angleški jezik
• Ključne besede: mountain pass, Ekeland variational principle, nonlocal Kirchhoff equation
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2016
• Št. strani: Str. 325-332
• Številčenje: Vol. 17, iss. 6
• PID: 20.500.12556/RUL-111102
• UDK: 517.956.2
• ISSN pri članku: 1565-1339
• DOI: 10.1515/ijnsns-2016-0006
• COBISS.SI-ID: 17787993
• Datum objave v RUL: 24.09.2019

Gradivo je del revije

• Naslov: International journal of nonlinear sciences and numerical simulation
• Skrajšan naslov: Int. j. nonlinear sci. numer. simul.
• Založnik: de Gruyter
• ISSN: 1565-1339
• COBISS.SI-ID: 10340886