Energy gap phenomenon and the existence of infinitely many weakly harmonic maps for the Dirichlet problem (Q1891825)

Let \(M\) be a smooth bounded domain of \(\mathbb{R}^n\), let \(N\) be a compact Riemannian manifold without boundary, and let \(\varphi : \partial M \to N\) be a smooth map. When energy gap occurs (for maps from \(M\) to \(N\)), the author obtains various sufficient topological conditions on \(N\) for the existence of infinitely many weakly harmonic maps from \(M\) to \(N\), with boundary value \(\varphi\).