$L^p$-interpolation inequalities and global Sobolev regularity results (with an appendix by Ognjen Milatovic)

Batu Güneysu, Stefano Pigola

On any complete Riemannian manifold $M$ and for all $p\in [2,\infty )$, we prove a family of second order $L^p$-interpolation inequalities that arise from the following simple $L^…