期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 239, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2023.113437
关键词
Mean curvature flow; Allen-Cahn equation; Phase transitions
In this article, the authors generalize their previous results to higher dimensions and prove the existence of eternal weak mean root 1 root-1 curvature flows connecting a Clifford hypersurface to the equatorial spheres.
In this article, we generalize our previous results (Chen and Gaspar, 2023) joint with Pedro Gaspar to higher dimensions, prove the existence of (infinitely many) eternal weak mean root 1 root-1 curvature flows in +1 (for all >= 2) connecting a Clifford hypersurface 1( ) x -1( ) to the equatorial spheres. Sn
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