Existence and inclusion for nonlocal elliptic boundary value problems

  • Christoph Tietz Martin-Luther-Universität Halle-Wittenberg


In this paper we study a class of nonlinear elliptic problems under nonlocal Robin boundary conditions. We investigate the existence of generalised solutions and localise them by using fixed point methods and comparison principles. To make the results applicable, we provide methods that allow us to construct pairs of ordered lower and upper solutions.