论文标题
海森堡集团中水平p-laplacian解决方案的严格星形
Strict starshapedness of solutions to the horizontal p-laplacian in the Heisenberg group
论文作者
论文摘要
我们检查了海森伯格集团中特定水平$ p $ harmonic功能的水平集的几何形状。我们发现敏锐的自然几何条件确保了海森伯格组有界环的$ p $ - 支付潜力的水平集，严格是星形的。
We examine the geometry of the level sets of particular horizontally $p$-harmonic functions in the Heisenberg group. We find sharp, natural geometric conditions ensuring that the level sets of the $p$-capacitary potential of a bounded annulus in the Heisenberg group are strictly starshaped.
