This paper concerns the continuity of the solution to the even [Formula: see text] Minkowski problem in the plane. When [Formula: see text], it is proved that the weak convergence of the even [Formula: see text] surface area measures implies the convergence of the corresponding convex bodies in the Hausdorff metric. Moreover, the continuity of the solution to the even [Formula: see text] Minkowski problem with respect to [Formula: see text] is also obtained.

中文翻译：

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平面上 0 < p < 1 的偶 Lp Minkowski 问题的解的连续性

本文关注平面上偶数[公式：见正文] Minkowski 问题解的连续性。当[公式：见正文]时，证明偶数[公式：见正文]表面积测度的弱收敛性意味着Hausdorff度量中对应凸体的收敛性。此外，还获得了偶数[公式：见文本] Minkowski问题的解相对于[公式：见文本]的连续性。