We give a qualitative description of extremals for Morrey’s inequality. Our theory is based on exploiting the invariances of this inequality, studying the equation satisfied by extremals, and the observation that extremals are optimal for a related convex minimization problem.

中文翻译：

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莫雷不等式的极值函数

我们给出了 Morrey 不等式的极值的定性描述。我们的理论基于利用该不等式的不变性，研究极值满足的方程，并观察到极值对于相关的凸极小化问题是最优的。