Equilibrium points of a singular cooperative system with free boundary

John Andersson, Henrik Shahgholian, Nina N. Uraltseva +1

In this paper we initiate the study of maps minimising the energy $${\int }_D(|\nabla {\breve{|}}^2+2|\breve{|})dx.$$ which, due to Lipschitz character of the integrand, gives rise to the si…