On a class of stationary loops on SO(n) and the existence of multiple twisting solutions to a nonlinear elliptic system subject to a hard incompressibility constraint

For full abstract please refer to http://dx.doi.org/10.1186/s13661-018-1047-

On the non-tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem

In this paper we consider the following two-phase obstacle-problem-like equation in the unit half-ball u=+u0−−u00 We classify the angles of touch between the free boundary and the fixed one if the boundary data f satisfies certain conditions. These results are connected to the results from Andersson et al. (Ark. Mat. 44(1):1–15, 2006)