Regularity for p-Harmonic Functions in the Grušin Plane  

作　　者：Chengwei Yu 

机构地区：[1]School of Mathematical Sciences,Beihang University,Beijing 100191,China

出　　处：《Journal of Mathematical Study》2023年第3期219-278,共60页数学研究（英文）

摘　　要：Let X={X1,X2}be the orthogonal complement of a Cartan subalgebra in the Grušin plane,whose orthonormal basis is formed by the vector fields X1 and X2.When 1<p<∞,we prove that weak solutions u to the degenerate subelliptic p-Laplacian equation△x,p^(u)(z)=2∑i=1Xi|^(p-2)Xiu|=0have the C0,1 loc,C1,αloc and W_(X,loc)^(2,2)-regularities.

关 键 词：p-Laplacian equation REGULARITIES Grušin plane 

分 类 号：O174[理学—数学]