Multiple Periodic Solutions of Allen-Cahn System Involving Fractional Laplacian
摘要
We consider periodic solutions of the following nonlinear system associated with the fractional Laplacian(-∂xx)su(x)+▽F(u(x))=0 in R,where F:R2 → R is a smooth double-well potential.For the case that F is even in its two variables we obtain the existence of more and more periodic solutions with large period,by using Clark's theorem.For the case that F is only even in its the second variable and the origin is a saddle critical point of F,we give two periodic solutions by using Morse theory.
年，卷(期)：
2025, 38(4)
分类号：
O175.25
机标分类号：
O241
O157.5
TP391.41 O157.5
在线出版日期：
2026年4月13日
