Regularity results for quasilinear degenerate elliptic obstacle problems in Carnot groups
Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 65-105.
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Let be a basis of the space of horizontal vector fields on the Carnot group . We establish regularity results for solutions to the following quasilinear degenerate elliptic obstacle problem
DOI :
10.4171/RSMUP/15
Classification :
35, 00
Mots-clés : Carnot group, quasilinear degenerate elliptic obstacle problem, $C_X^{0,\alpha}$ regularity, $C_X^{1,\alpha}$ regularity
Mots-clés : Carnot group, quasilinear degenerate elliptic obstacle problem, $C_X^{0,\alpha}$ regularity, $C_X^{1,\alpha}$ regularity
Affiliations des auteurs :
Du, Guangwei 1 ;
Niu, Pengcheng 1 ;
Han, Junqiang 1
@article{RSMUP_2019__141__65_0, author = {Du, Guangwei and Niu, Pengcheng and Han, Junqiang}, title = {Regularity results for quasilinear degenerate elliptic obstacle problems in {Carnot} groups}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {65--105}, publisher = {European Mathematical Society Publishing House}, address = {Zuerich, Switzerland}, volume = {141}, year = {2019}, doi = {10.4171/RSMUP/15}, mrnumber = {3962821}, zbl = {1422.35064}, url = {http://www.numdam.org/articles/10.4171/RSMUP/15/} }
TY - JOUR AU - Du, Guangwei AU - Niu, Pengcheng AU - Han, Junqiang TI - Regularity results for quasilinear degenerate elliptic obstacle problems in Carnot groups JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2019 SP - 65 EP - 105 VL - 141 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://www.numdam.org/articles/10.4171/RSMUP/15/ DO - 10.4171/RSMUP/15 ID - RSMUP_2019__141__65_0 ER -
%0 Journal Article %A Du, Guangwei %A Niu, Pengcheng %A Han, Junqiang %T Regularity results for quasilinear degenerate elliptic obstacle problems in Carnot groups %J Rendiconti del Seminario Matematico della Università di Padova %D 2019 %P 65-105 %V 141 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://www.numdam.org/articles/10.4171/RSMUP/15/ %R 10.4171/RSMUP/15 %F RSMUP_2019__141__65_0
Du, Guangwei; Niu, Pengcheng; Han, Junqiang. Regularity results for quasilinear degenerate elliptic obstacle problems in Carnot groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 65-105. doi : 10.4171/RSMUP/15. http://www.numdam.org/articles/10.4171/RSMUP/15/
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