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Published online first: 2018-11-20
DOI: 10.4171/RSMUP/15

Regularity results for quasilinear degenerate elliptic obstacle problems in Carnot groups

Guangwei Du[1], Pengcheng Niu[2] and Junqiang Han[3]

(1) Northwestern Polytechnical University, Xi'an, Shaanxi, China
(2) Northwestern Polytechnical University, Xi'an, Shaanxi, China
(3) Northwestern Polytechnical University, Xi'an, Shaanxi, China

Let $\{X_1 ,\ldots ,X_m \}$ be a basis of the space of horizontal vector fields on the Carnot group $\mathbb{G}=(\mathbb{R}^N, \circ)(m

Keywords: Carnot group, quasilinear degenerate elliptic obstacle problem, $C_X^{0,\alpha}$ regularity, $C_X^{1,\alpha}$ regularity

Du Guangwei, Niu Pengcheng, Han Junqiang: Regularity results for quasilinear degenerate elliptic obstacle problems in Carnot groups. Rend. Sem. Mat. Univ. Padova Electronically published on November 20, 2018. doi: 10.4171/RSMUP/15 (to appear in print)