The Lp Minkowski problem for electrostatic p-capacity
The Lp Minkowski problem for electrostatic p-capacity
复制标题
静电 p 电容的 Lp Minkowski 问题
DOI：
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发表时间：
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影响因子：
2.5
通讯作者：
Ge Xiong
中科院分区：
文献类型：
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作者：
Du Zou;Ge Xiong
证明了p > 1和1 < p <n时静电p容量Lp Minkowski问题解的存在唯一性。这些结果是CNSXYZ和AGHLV对p = 1和1 < p < n时p-容量的Lp Minkowski问题解的非线性推广，以及Jerison对p = 1和p = 2时静电容量的Minkowski问题经典解的非线性推广。
Existence and uniqueness of the solution to the Lp Minkowski problem for electrostatic p-capacity are proved when p > 1 and 1 < p <n. These results are nonlinear extensions of the very recent solution to the Lp Minkowski problem for p-capacity when p = 1 and 1 < p < n by CNSXYZ and AGHLV, and the classical solution to the Minkowski problem for electrostatic capacity when p = 1 and p = 2 by Jerison.