Yu, Chengwei2023-04-172023-04-172022-04-06Yu, C. (2022). Second order Sobolev regularity for p-harmonic functions in SU(3). <i>Electronic Journal of Differential Equations, 2022</i>(27), pp. 1-15.1072-6691https://hdl.handle.net/10877/16586Let u be a weak solution to the degenerate subelliptic p-Laplacian equation ΔH,p u(x) = 6∑i=1 Xi(∇Hu|p-2 Xiu) = 0, where H is the orthogonal complement of a Cartan subalgebra in SU(3) and its orthonormal basis is composed of the vector fields X1,...,X6. We prove that when 1 < p < 7/2, the solution u has the second order horizontal Sobolev W2,2, H,loc-regularity.Text15 pages1 file (.pdf)enAttribution 4.0 Internationalp-Laplacian equationSU(3)W2,2 h,loc-regularityHessian matrixp-Harmonic functionArticle