摘要
本文中,我们建立了P(x)-双调和算子的Pohozaev型恒等式.利用这个恒等式,我们证明了比星形区域更一般的正型区域内一类变指数椭圆型方程正解的不存在性.
In this work,we establish the Pohozaev-type identity of the P(x)-biharmonic operator.Using this identity,we prove that there are no positive solutions for a class of elliptic equations with variable exponents in positive-type domains that are more general than star-shaped ones.
作者
马培
郑田田
Ma Pei;Zheng Tiantian(College of Science,Nanjing Forestry University,Nanjing 210037;Department of Mathematics,Jinling Institute of Technology,Nanjing 211169)
出处
《南京大学学报（数学半年刊）》
2022年第2期146-154,共9页
Journal of Nanjing University(Mathematical Biquarterly)
基金
Supported by NSFC(No.11571176,No.12001274)。
