A Liouville theorem for high order degenerate elliptic equations

作者：Huang, Genggeng^*; Li, Congming

来源：Journal of Differential Equations, 2015, 258(4): 1229-1251.

DOI：10.1016/j.jde.2014.10.017

• Degenerate elliptic
• Moving plane
• Divergence identity

In this paper, we apply the method of moving plane to the following high order degenerate elliptic equation,
(-A)(p)u = u(alpha) in R-+(n+1), n >= 1,
where the operator A = y partial derivative(2)(y) + a partial derivative(y) + Delta(x), a >= 1. We get a Liouville theorem for subcritical case and classify the solutions for the critical case.

• 出版日期2015-2-15
• 单位上海交通大学