Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5471539 | Applied Mathematics Letters | 2017 | 8 Pages |
Abstract
For a class of Kirchhoff functional, we first give a complete classification with respect to the exponent p for its L2-normalized critical points, and show that the minimizer of the functional, if exists, is unique up to translations. Secondly, we search for the mountain pass type critical points for the functional on the L2-normalized manifold, and also prove that this type critical point is unique up to translations. Our proof relies only on some simple energy estimates and avoids using the concentration-compactness principles. These conclusions extend some known results in previous papers.
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Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Xiaoyu Zeng, Yimin Zhang,