Junfang Zhao, Xiangqing Liu, Jiaquan Liu
In this article, we study the p-Laplacian equation
where , , div the p-Laplacian operator, and the positive, finite function a(y) satisfies suitable decay assumptions at infinity. By using the truncation method, we prove the existence of infinitely many solutions.
Submitted September 22, 2018. Published July 16, 2019.
Math Subject Classifications: 35B05, 35B45.
Key Words: p-Lalacian equation; half space; boundary value problem; multiple solutions; truncation method.
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| Junfang Zhao |
School of Science
China University of Geosciences
Beijing 100083, China
| Xiangqing Liu |
Department of Mathematics
Yunnan Normal University
Kunming 650500, China
| Jiaquan Liu |
LMAM, School of Mathematics
Beijing 100871, China
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