论文标题

部分可观测时空混沌系统的无模型预测

Uniqueness of the critical point for solutions to some $p$-Laplace equations in the plane

论文作者

Borrelli, William, Mosconi, Sunra, Squassina, Marco

论文摘要

我们证明,由$ p $ -laplacian驱动的一类准线性椭圆方程的准孔子阳性解决方案在平面的凸有界域中仅具有一个临界点。结果,我们为这些解决方案的适当转换获得了严格的凹度结果。

We prove that quasi-concave positive solutions to a class of quasi-linear elliptic equations driven by the $p$-Laplacian in convex bounded domains of the plane have only one critical point. As a consequence, we obtain strict concavity results for suitable transformations of these solutions.

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