Filters

2012 - 20162

More filters

20192
Reset filters

Settings

DDC: 510 × Subject: mixed boundary condition ×

Search Results

Now showing 1 - 2 of 2
  • Thumbnail Image
    Item
    A nonlocal concave-convex problem with nonlocal mixed boundary data
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2016) Abdellaoui, Boumediene; Dieb, Abdelrazek; Valdinoci, Enrico
    The aim of this paper is to study a nonlocal equation with mixed Neumann and Dirichlet external conditions. We prove existence, nonexistence and multiplicity of positive energy solutions and analyze the interaction between the concave-convex nonlinearity and the Dirichlet-Neumann data.
  • Thumbnail Image
    Item
    Parabolic equations with dynamical boundary conditions and source terms on interfaces
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2012) Elst, A.F.M. ter; Meyries, Martin; Rehberg, Joachim
    We consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported on a lower dimensional hypersurface, enforcing a jump in the conormal derivative. Only minimal regularity assumptions on the domain and the coefficients are imposed. It is shown that the corresponding linear operator enjoys maximal parabolic regularity in a suitable Lp-setting. The linear results suffice to treat also the corresponding nondegenerate quasilinear problems.