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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A Trüdinger inequality on surfaces with conical singularities


Author: Wen Xiong Chen
Journal: Proc. Amer. Math. Soc. 108 (1990), 821-832
MSC: Primary 53A05
MathSciNet review: 990415
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Abstract: In this paper, the author establishes an isoperimetric inequality on surfaces with conical singularities, and by using it, proves a Trüdinger inequality with best constant on such surfaces. The best constants of the Trüdinger inequality are also found for a class of "symmetric" singular matrices.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1990-0990415-9
PII: S 0002-9939(1990)0990415-9
Keywords: Surfaces with conical singularities, isoperimetric inequalities, Trüdinger inequalities, the best constant, symmetric singular matrices
Article copyright: © Copyright 1990 American Mathematical Society