Year: 2018
Author: Changliang Zhou, Chunqin Zhou
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 1 : pp. 71–96
Abstract
In this paper, we derive the singular Moser-Trudinger inequality which involves the first eigenvalue and several singular points, and further prove the existence of the extremal functions for the relative Moser-Trudinger functional. Since the problems involve more complicated norm and multiple singular points, not only we can’t use the symmetrization to deal with a one-dimensional inequality, but also the processes of the blow-up analysis become more delicate. In particular, the new inequality is more general than that of [1, 2].
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v31.n1.6
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 1 : pp. 71–96
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Singular Moser-Trudinger inequlaity