Moser–Trudinger trace inequalities

By Andrea Cianchi. 2008

65 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/5bbfae008a37c7d7dd0ca03969f9af4beb4fcac4

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In Applied Mathematics

In Computational Theory and Mathematics

Citations in the corpus

Affine Moser–Trudinger and Morrey–Sobolev inequalities (2009, unknown): “, [3, 4, 5, 6, 7, 11, 10, 15, 16, 19, 20, 23, 24, 26, 30, 47].”
Adams inequalities on measure spaces (2009, unknown): “f Theorems 6 and 7, and the sharpness statements are proven in essentially the same manner. It would also be possible to extend this theorem to general Lorentz-Sobolev space, in the same spirit as in [Ci1], with suitable and slightly more general versions of our Theorems 1,1’ and 4, which for simpli”
Sharp singular Adams inequalities in high order Sobolev spaces (2011, result): “[17] A. Cianchi, Moser-Trudinger trace inequalities, Adv.”
A thermodynamical formalism for Monge–Ampère equations, Moser–Trudinger inequalities and Kähler–Einstein metrics (2010, methodology): “In particularly, taking Y as a domain in R2 one gets a weaker version of a recent result och Cianchi [32] who proved the corresponding inequality with δ = 0, using completely different methods.”
A new approach to sharp Moser–Trudinger and Adams type inequalities: A rearrangement-free argument (2013, background): “We also refer the reader to the sharp Moser inequality with mean value zero by Chang and Yang [11], Lu and Yang [43], Leckband [34], sharp Moser–Trudinger trace inequalities and sharp Moser–Trudinger inequalities without boundary conditions by Cianchi [12,13], the sharp Moser–Trudinger type inequali”
An Improved Geometric Inequality via Vanishing Moments, with Applications to Singular Liouville Equations (2012, background): “In presence of singularities, namely when a weight h̃ as in (5) multiplies the exponential term, a modified sharp Moser-Trudinger inequality was derived in [20] and [70] (see also [18], or also [28], [40] for exensions to general settings), and takes the form (9) log ˆ”
An asymmetric affine Pólya–Szegö principle (2012, unknown): “, [4,17,18,24,32,45,63]).”