Symmetry-breaking for systems of nonlinear elliptic equations (Q1812681)

The authors study the symmetry-breaking problem for the elliptic system \[ \Delta u+ f(u, v)=0, \qquad \Delta v+ g(u, v)=0 \] in a ball \(B\subset \mathbb{R}^n\) with homogeneous Dirichlet conditions on \(\partial B\).