On the capacity approach to non-attainability of Hardy's inequality in \(\mathbb{R}^N\)
In this short note the authors used a type of Lorentz spaces approach to study the non-attainability of the standard Hardy inequality for the $p$-Laplacian in \(\mathbb{R}^N\). They prove that in a weak sense the best constant of the Hardy inequality cannot be attained.
scientific article; zbMATH DE number 7043504
scientific article