We present a set of multiplicative Sobolev inequalities that yield less restrictive embedding and Trudinger-type results. The proofs are elementary and deduced only from a multiplicative inequality of Gagliardo-Nirenberg and Holder's inequality with no recourse to any potential estimates.
机构:
Univ Sussex, Ctr Math Anal & Its Applicat, Brighton BN1 9QH, E Sussex, EnglandUniv Sussex, Ctr Math Anal & Its Applicat, Brighton BN1 9QH, E Sussex, England
Edmunds, DE
Hurri-Syrjänen, R
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机构:Univ Sussex, Ctr Math Anal & Its Applicat, Brighton BN1 9QH, E Sussex, England