Nondegeneracy of Solution to the Allen-Cahn Equation with Regular Triangle Symmetry  

作　　者：Yong Liu Jun Wang 

机构地区：[1]Department of Mathematics and Physics, North China Electric Power University, Beijing, China

出　　处：《Advances in Pure Mathematics》2014年第4期103-107,共5页理论数学进展（英文）

摘　　要：The Allen-Cahn equation on the plane has a 6-end solution U with regular triangle symmetry. The angle between consecutive nodal lines of U is . We prove in this paper that U is non-degenerated in the class of functions possessing regular triangle symmetry. As an application, we show the existence of a family of solutions close to U.The Allen-Cahn equation on the plane has a 6-end solution U with regular triangle symmetry. The angle between consecutive nodal lines of U is . We prove in this paper that U is non-degenerated in the class of functions possessing regular triangle symmetry. As an application, we show the existence of a family of solutions close to U.

关 键 词：Allen-Cahn Equation Multiple-End SOLUTION NONDEGENERACY 

分 类 号：O1[理学—数学]