We study the entire solutions of the p-Laplace equation
where a(x,y) is a periodic in x and y, positive function. Here is a two well potential. Via variational methods, we show that there is layered solution which is heteroclinic in x and periodic in y direction.
Submitted September 15, 2009. Published January 21, 2010.
Math Subject Classifications: 35J60, 35B05, 35B40.
Key Words: Entire solution; p-Laplace Allen-Cahn equation; Variational methods.
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| Zheng Zhou |
College of Mathematics and Econometrics
Hunan University, Changsha, China
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