Deng, Yinbin

Lin, Chang-Shou

Yan, Shusen

2015

We obtain a local uniqueness result for bubbling solutions of the prescribed scalar curvature problem in RN. Such a result implies that some bubbling solutions preserve the symmetry from the scalar curvature K(y). In particular, we prove in this paper that if K(y)is periodic in y₁ with period 1 and has a local maximum at 0, then a bubbling solution whose blow-up set is {(jL, 0, ···, 0) :j=0, ±1, ±2, ···} must be periodic in y₁ provided the positive integer L is large enough.

Journal de Mathematiques Pures et Appliquees, 104(6), p. 1013-1044

1776-3371

0021-7824

https://hdl.handle.net/1959.11/18573

Elsevier Masson

On the prescribed scalar curvature problem in RN, local uniqueness and periodicity

Journal Article

Publication