Home >> Proceedings Section A: Mathematics - Royal Society of Edinburgh, Volume 130, Number 3

Uniqueness theorem for the entire positive solutions of biharmonic equations in Rn

Author: Xu X.

Source: Proceedings Section A: Mathematics - Royal Society of Edinburgh, Volume 130, Number 3, 4 June 2000 , pp. 651-670(20)

Publisher: Royal Society of Edinburgh

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Abstract:

The entire positive solutions of a conformally invariant biharmonic equation in Rn will be classified using the method of moving spheres. As a byproduct, one also shows that any entire non-negative solution of the equation Delta2u = up with 1 le p < ( n + 4 ) / ( n - 4 ) with n ge 2 is zero.

Document Type: Research article

Publication date: 2000-06-04

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