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  • Nonlocal Kirchhoff superlinear equations with indefinite nonlinearity and lack of compactness
    Li, Lin ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-
    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.
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2016
    Jezik - angleški
    COBISS.SI-ID - 17787993