TY - JOUR
T1 - Singular Solutions to Monge-Ampère Equation
AU - Caffarelli , Luis A.
AU - Yuan , Yu
JO - Analysis in Theory and Applications
VL - 2
SP - 121
EP - 127
PY - 2022
DA - 2022/07
SN - 38
DO - http://doi.org/10.4208/ata.OA-0023
UR - https://global-sci.org/intro/article_detail/ata/20795.html
KW - Monge-Ampère equation.
AB - <p style="text-align: justify;">We construct merely Lipschitz and $C^{1,α}$ with rational $α ∈ (0, 1 − 2/n]$ viscosity solutions to the Monge-Ampère equation with constant right hand side.</p>