P-Laplace Equation for the Grushin Type Operator  

作　　者：Ji Zheng HUANG Xin Xin YANG 

机构地区：[1]School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2023年第5期923-938,共16页数学学报（英文版）

基　　金：Supported by the Fundamental Research Funds for the Central Universities(Grant No.500422107)。

摘　　要：Let Gλ,λ>0,be a Grushin type operator on Rn×Rm.In this paper,we will first establish existence and uniqueness for the p-Laplace equation for Gλ,then we prove the regularity of solutions.In order to prove our results,we will get the Harnack inequality for Gλ,which maybe has independent interest.

关 键 词：solutions. INEQUALITY UNIQUENESS 

分 类 号：O175[理学—数学]