Maximal saddle solution of a nonlinear elliptic equation involving the p-Laplacian

作者：Yan, Huahui^*; Du, Zhuoran

来源：Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2014, 124(1): 57-65.

DOI：10.1007/s12044-013-0154-3

• p-Laplacian
• maximal saddle solution
• monotone iteration methods

A saddle solution is called maximal saddle solution if its absolute value is not smaller than those absolute values of any solutions that vanish on the Simons cone C = {s = t} and have the same sign as s t. We prove the existence of a maximal saddle solution of the nonlinear elliptic equation involving the p-Laplacian, by using the method of monotone iteration,
-Delta(p)u = f (u) in R-2m,
where 2m >= p > 2.

• 出版日期2014-2
• 单位湖南大学