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Media type:
E-Article
Title:
A trace Trudinger-Moser inequality involving πΏ^{π}-norm on a compact Riemann surface with boundary
Contributor:
Zhang, Mengjie
imprint:
American Mathematical Society (AMS), 2024
Published in:Proceedings of the American Mathematical Society
Language:
English
DOI:
10.1090/proc/16750
ISSN:
0002-9939;
1088-6826
Origination:
Footnote:
Description:
<p>In this paper, using the method of blow-up analysis, we establish a trace Trudinger-Moser inequality involving <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript p">
<mml:semantics>
<mml:msup>
<mml:mi>L</mml:mi>
<mml:mi>p</mml:mi>
</mml:msup>
<mml:annotation encoding="application/x-tex">L^p</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula>-norm and obtain the corresponding extremal on a compact Riemann surface with a smooth boundary. The result generalizes those of Li-Liu [Math. Z. 250 (2005), pp.Β 363β686] and Zhang [Commun. Pure Appl. Anal. 20 (2021), pp.Β 1721β1735].</p>