Sharp conditions for the compactness of the Sobolev embedding on Musielak–Orlicz spaces
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201700462
Abstract: We prove the compactness of the Sobolev embedding for Musielak–Orlicz spaces by way of simple conditions on the Matuszewska index of the underlying space. We provide counterexamples to show the sharpness of our conditions. read more here.
Keywords: sharp conditions; embedding musielak; sobolev embedding; compactness sobolev ... See more keywords