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Quasiconvexity and uniqueness of stationary points in the multi-dimensional calculus of variations
Let $\Omega \subset {\mathbb R}^n$ be a bounded starshaped domain. In this note we consider critical points $\bar {u} \in \bar {\xi } y + W_0 ^{1,p} (\Omega ; {\mathbb R}^m)$ of the functional \[ {\mathcal F}(u, \Omega ) := \int _{\Omega } f( \nabla u(y)) dy, \] where $f: …