This artical concerns the C_(loc)^(1,α)-regularity of weak solutions u to the degenerate subelliptic p-Laplacian equationΔ_(H,p)u(x)=∑_(i=1)^(6)X_(i)^(*)(|∇_(H)u|^(p-2)X_(i)u)=0,where H is the orthogonal complement...This artical concerns the C_(loc)^(1,α)-regularity of weak solutions u to the degenerate subelliptic p-Laplacian equationΔ_(H,p)u(x)=∑_(i=1)^(6)X_(i)^(*)(|∇_(H)u|^(p-2)X_(i)u)=0,where H is the orthogonal complement of a Cartan subalgebra in SU(3)with the orthonormal basis composed of the vector fields X_(1),...,X_(6).When 1<p<2,we prove that ∇_(H)u∈C_(loc)^(α).展开更多
基金supported by the National Natural Science Foundation of China(Nos.12025102,11871088).
文摘This artical concerns the C_(loc)^(1,α)-regularity of weak solutions u to the degenerate subelliptic p-Laplacian equationΔ_(H,p)u(x)=∑_(i=1)^(6)X_(i)^(*)(|∇_(H)u|^(p-2)X_(i)u)=0,where H is the orthogonal complement of a Cartan subalgebra in SU(3)with the orthonormal basis composed of the vector fields X_(1),...,X_(6).When 1<p<2,we prove that ∇_(H)u∈C_(loc)^(α).
