An improvement of Sobolev inequality involving Hardy potential term

作者：Wang, Yongda^*

来源：Monatshefte fur Mathematik, 2018, 185(4): 717-731.

DOI：10.1007/s00605-018-1172-0

• Sobolev inequality
• Hardy potential
• Critical exponent
• Decomposition method

We give an improvement of the Sobolev inequality involving a Hardy potential term. This kind of Sobolev inequalities can be improved by adding some remainder term, which depends deeply on the coefficient in the Hardy potential. Moreover, the remainder term can be an -norm if is critical in the sense of Jannelli, see Jannelli (Nonlin Anal TMA 119:443-456, 2015) or D'Amrosio and Jannelli (Calc Var PDE 54:365-396, 2015).

• 出版日期2018-4
• 单位河北大学