论文标题

最小化器的完全分类和非平稳性,用于分数Hardy-Sobolev不平等和应用程序

Complete classification and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications

论文作者

Musina, Roberta, Nazarov, Alexander I.

论文摘要

我们研究与分数强的线性方程和非线性方程 - 核心不等式。我们证明了基本方程式基础态解决方案的非修饰性,并研究了存在和定性属性,包括对某些扰动方程的对称性的对称性。

We study linear and non-linear equations related to the fractional Hardy--Sobolev inequality. We prove nondegeneracy of ground state solutions to the basic equation and investigate existence and qualitative properties, including symmetry of solutions to some perturbed equations.

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