论文标题
关于Hardy不平等的超级解决方法的注释
A note on the supersolution method for Hardy's inequality
论文作者
论文摘要
我们证明了Hardy在Sobolev-Slobodecki \uı空间中的不平等表征,从相关的Euler-Lagrange方程的积极局部弱超溶液来看。这扩展了Ancona和Kinnunen&Korte的先前结果,用于标准Sobolev空间。该证明基于变异方法。
We prove a characterization of Hardy's inequality in Sobolev-Slobodecki\uı spaces in terms of positive local weak supersolutions of the relevant Euler-Lagrange equation. This extends previous results by Ancona and Kinnunen & Korte for standard Sobolev spaces. The proof is based on variational methods.