Nonlinear elliptic equations on non-smooth domains under mixed boundary value conditions
Nonlinear elliptic problems are considered under mixed Dirichlet-Neumann boundary conditions. It is assumed that the domain $\Omega$ has a piecewise smooth boundary (e.g. the domain is a polyhedron). Using a difference quotient technique, we get regularity results for weak solutions in fractional order Sobolev spaces. These results generalize the known results for linear problems.
Carsten Ebmeyer, University of Bonn, Germany
June 16, 2000