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- W1884938276 abstract "We consider (M,g) a smooth compact Riemannian manifold of dimension n≥2 without boundary, 1<p a real parameter and r=p(n+p)n. This paper concerns the validity of the optimal Moser inequality(∫M|u|rdvg)τp≤(A(p,n)τp(∫M|∇gu|pdvg)τp+Bopt(∫M|u|pdvg)τp)(∫M|u|pdvg)τn. This kind of inequality was already studied in the last years in the particular cases 1<p<n. Here we solve the case n≤p and we introduce one more parameter 1≤τ≤min{p,2}. Moreover, we prove the existence of an extremal function for the optimal inequality above." @default.
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- W1884938276 date "2016-01-01" @default.
- W1884938276 modified "2023-09-25" @default.
- W1884938276 title "Sharp Lp-Moser inequality on Riemannian manifolds" @default.
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- W1884938276 doi "https://doi.org/10.1016/j.jde.2015.09.038" @default.
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