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1. Remarks on the Extremal Functions for the Moser–Trudinger Inequality.

Author

Yu Xiang Li

Subjects
*MATHEMATICAL functions, *MANIFOLDS (Mathematics), *EQUATIONS, *DIFFERENTIAL equations, *MATHEMATICAL analysis, *MATHEMATICS
Abstract

We will show in this paper that if λ is very close to 1, then can be attained, where M is a compact–manifold with boundary. This result gives a counter–example to the conjecture of de Figueiredo and Ruf in their paper titled "On an inequality by Trudinger and Moser and related elliptic equations" ( Comm. Pure. Appl. Math., 55, 135–152, 2002). [ABSTRACT FROM AUTHOR]

Published
2006
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