Loading...
Please wait, while we are loading the content...
Similar Documents
Non-linear ground state representations and sharp Hardy inequalities
| Content Provider | CiteSeerX |
|---|---|
| Author | Seiringer, Robert Frank, Rupert L. |
| Abstract | Abstract. We determine the sharp constant in the Hardy inequality for fractional Sobolev spaces. To do so, we develop a non-linear and non-local version of the ground state representation, which even yields a remainder term. From the sharp Hardy inequality we deduce the sharp constant in a Sobolev embedding which is optimal in the Lorentz scale. In the appendix, we characterize the cases of equality in the rearrangement inequality in fractional Sobolev spaces. 1. Introduction and |
| File Format | |
| Journal | J. Funct. Anal |
| Access Restriction | Open |
| Subject Keyword | Sharp Constant Fractional Sobolev Space Non-linear Ground State Representation Sobolev Embedding Rearrangement Inequality Ground State Representation Hardy Inequality Lorentz Scale Non-local Version Remainder Term Sharp Hardy Inequality |
| Content Type | Text |
| Resource Type | Article |
