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Differentiability of solutions for the non-degenerate p-Laplacian in the Heisenberg group
Journal article   Open access  Peer reviewed

Differentiability of solutions for the non-degenerate p-Laplacian in the Heisenberg group

András Domokos
Journal of Differential Equations, Vol.204(2), pp.439-470
2004
DOI: https://doi.org/10.1016/j.jde.2004.05.009
Handle:
https://hdl.handle.net/20.500.12741/rep:7090

Abstract

Heisenberg group p-Laplacian Weak solutions Regularity
We propose a direct method to control the first-order fractional difference quotients of solutions to quasilinear subelliptic equations in the Heisenberg group. In this way we implement iteration methods on fractional difference quotients to obtain weak differentiability in the T-direction and then second-order weak differentiability in the horizontal directions.
url
https://doi.org/10.1016/j.jde.2004.05.009View
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