TY - JOUR
T1 - Removable singularities for degenerate elliptic Pucci operator on the Heisenberg group
AU - Wang, Bo
N1 - Publisher Copyright:
© 2017 Elsevier Ltd
PY - 2017/9
Y1 - 2017/9
N2 - In this paper, we study viscosity solutions to a class of degenerate elliptic Pucci operators modelled on the Heisenberg group, where the second order term is obtained by a composition of degenerate elliptic Pucci operator with the degenerate Heisenberg Hessian matrix. We study and answer the question: Which compact sets have the property that each viscosity subsolution outside this set, which is bounded below, can be extended to a viscosity subsolution on this set.
AB - In this paper, we study viscosity solutions to a class of degenerate elliptic Pucci operators modelled on the Heisenberg group, where the second order term is obtained by a composition of degenerate elliptic Pucci operator with the degenerate Heisenberg Hessian matrix. We study and answer the question: Which compact sets have the property that each viscosity subsolution outside this set, which is bounded below, can be extended to a viscosity subsolution on this set.
KW - Capacity
KW - Degenerate elliptic Pucci operator
KW - Heisenberg group
KW - Polar set
KW - Removability
UR - https://www.scopus.com/pages/publications/85020496449
U2 - 10.1016/j.na.2017.05.011
DO - 10.1016/j.na.2017.05.011
M3 - Article
AN - SCOPUS:85020496449
SN - 0362-546X
VL - 160
SP - 177
EP - 190
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
ER -