Preprint 28/2000

Analytic Aspects of the Toda system: I. A Moser-Trudinger inequality

Jürgen Jost and Guofang Wang

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Submission date: 10. Dec. 2000 (revised version: November 2000)
Pages: 33
published in: Communications on pure and applied mathematics, 54 (2001) 11, p. 1289-1319 
DOI number (of the published article): 10.1002/cpa.10004
Bibtex
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Abstract:
In this paper, we analyze solutions of the open Toda system and establish an optimal Moser-Trudinger type inequality for this system. Let tex2html_wrap_inline36 be a closed surface with area 1 and tex2html_wrap_inline40 the Cartan matrix for SU(N+1), i.e.,
displaymath28
We show that
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has a lower bound in tex2html_wrap_inline44 if and only if
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has a lower bound in tex2html_wrap_inline44 if and only if As a direct consequence, if tex2html_wrap_inline46 for tex2html_wrap_inline48, tex2html_wrap_inline50 has a minimizer u which satisfies
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20.03.2019, 02:10