An optimal Hardy-Morrey inequality

作者：Psaradakis Georgios^*

来源：Calculus of Variations and Partial Differential Equations, 2012, 45(3-4): 421-441.

DOI：10.1007/s00526-011-0464-1

In this work we improve the sharp Hardy inequality in the case p %26gt; n by adding an optimal weighted Holder seminorm. To achieve this we first obtain a local improvement. We also obtain a refinement of both the Sobolev inequality for p %26gt; n and the Hardy inequality, the latter having the best constant.

• 出版日期2012-11