The paper is concerned with a shape optimization problem, where the functional to be maximized describes the total sunlight collected by a distribution of tree leaves, minus the cost for transporting water and nutrient from the base of trunk to all the leaves. In a 2-dimensional setting, the solution is proved to be unique and explicitly determined.

中文翻译：

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树枝的二维形状优化问题

本文关注的是形状优化问题，其中要最大化的功能描述了通过分布树叶收集的总阳光，减去了将水和养分从树干底部运输到所有树叶的成本。在二维环境中，该解决方案被证明是唯一的并明确确定。