Symmetry breaking solutions for a two-phase overdetermined problem of Serrin-type

21 Feb 2020 · Cavallina Lorenzo, Yachimura Toshiaki ·

In this paper, we consider an overdetermined problem of Serrin-type for a two-phase elliptic operator with piecewise constant coefficients. We show the existence of infinitely many branches of nontrivial symmetry breaking solutions which bifurcate from any radially symmetric configuration satisfying some condition on the coefficients.