Fine bounds for best constants of fractional subcritical Sobolev embeddings and applications to nonlocal PDEs
We establish fine bounds for best constants of the fractional subcritical Sobolev embeddings W0s,p(Ω)↪Lq(Ω),{W}_{0}^{s,p}(\Omega )\hspace{0.33em}\hookrightarrow \hspace{0.33em}{L}^{q}(\Omega ), where N≥1N\ge 1, 0<s<10\lt s\lt 1, p=1,2p=1,2, 1≤q<ps∗=NpN−sp1\le q\lt {p}_{s}^{\ast }=\frac{Np}{...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-10-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2023-0103 |