Second order Sobolev regularity for p-harmonic functions in SU(3)
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Date
2022-04-06
Authors
Yu, Chengwei
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
Let 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.
Description
Keywords
p-Laplacian equation, SU(3), W2,2 h,loc-regularity, Hessian matrix, p-Harmonic function
Citation
Yu, C. (2022). Second order Sobolev regularity for p-harmonic functions in SU(3). Electronic Journal of Differential Equations, 2022(27), pp. 1-15.
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Attribution 4.0 International