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Positive Solution of a Subelliptic Nonlinear Equation on the Heisenberg Group

Published online by Cambridge University Press:  20 November 2018

Wei Wang
Wei Wang*
Affiliation:
Department of Mathematics Zhejiang University Zhejiang, 310028 P. R. China, e-mail: wangf@mail.hz.zj.cn
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Abstract

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In this paper, we establish the existence of positive solution of a nonlinear subelliptic equation involving the critical Sobolev exponent on the Heisenberg group, which generalizes a result of Brezis and Nirenberg in the Euclidean case.

Keywords

35J2035J60Heisenberg groupsubLapaciancritical Sobolev exponentextremals
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 44 , Issue 3 , 01 September 2001 , pp. 346 - 354
Copyright
Copyright © Canadian Mathematical Society 2001

References

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