VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Ambrosetti-Prodi problem with degenerate potential and Neumann boundary condition [Elektronski vir]
    Repovš, Dušan, 1954-
    We study the degenerate elliptic equation ▫$$ -\operatorname{div}(|x|^\alpha \nabla u) = f(u) + t\phi(x) + h(x)$$▫ in a bounded open set ▫$\Omega$▫ with homogeneous Neumann boundary condition, where ... ▫$\alpha \in (0,2)$▫ and ▫$f$▫ has a linear growth. The main result establishes the existence of real numbers and ▫$t^\ast$▫ such that the problem has at least two solutions if ▫$t \leq t_\ast$▫, there is at least one solution if ▫$t_\ast < t \leq t^\ast$▫, and no solution exists for all ▫$t > t^\ast$▫. The proof combines a priori estimates with topological degree arguments.
    Vir: Electronic journal of differential equations [Elektronski vir]. - ISSN 1072-6691 (Vol. 2018, 2018, art. no. 41, str. 1-10)
    Vrsta gradiva - e-članek
    Leto - 2018
    Jezik - angleški
    COBISS.SI-ID - 18249305

    Povezava(-e):

    https://ejde.math.txstate.edu/Volumes/2018/41/repovs.pdf
    Repozitorij Univerze v Ljubljani – RUL

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