论文标题
整个基础状态的唯一性对于分数等离子体问题
Uniqueness of entire ground states for the fractional plasma problem
论文作者
论文摘要
我们建立了将径向消失的唯一性降低到某些半线性分数椭圆方程中的整个溶液（我们称之为基态）。特别是，我们处理分数等离子体方程和超临界功率非线性。作为一种应用，我们推断出凯勒 - 塞格类型的非局部聚合扩散方程的径向稳态的唯一性，即使在以聚集为主的状态下也是如此。
We establish uniqueness of vanishing radially decreasing entire solutions, which we call ground states, to some semilinear fractional elliptic equations. In particular, we treat the fractional plasma equation and the supercritical power nonlinearity. As an application, we deduce uniqueness of radial steady states for nonlocal aggregation-diffusion equations of Keller-Segel type, even in the regime that is dominated by aggregation.
