PreprintCC BY 4.0arXiv
Splitting of viscosity solutions
Abstract
We give a penalization argument for splitting a continuous viscosity solution of two-sided Pucci inequalities into a solution of the same inequalities with zero boundary values and a function satisfying the homogeneous Pucci inequalities and with the same boundary data, settling an open question raised by Silvestre-Sirakov.
Related
- Regularity for convex viscosity solutions of σ2 Equation
- Nonnegative Viscosity and Weak Solutions to Trudinger's Parabolic Equation
- Geometric regularity for semi-convex viscosity solutions to the special Lagrangian equation
- Aleksandrov-Bakelman-Pucci maximum principle for Ln-viscosity solutions of uniformly elliptic equations with unbounded terms: The critical case
- Pathological viscosity solutions of Hamilton--Jacobi equations
BibTeX
@misc{jesus2026splitting,
title = {{Splitting of viscosity solutions}},
author = {David Jesus},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04882},
eprint = {2611.04882},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04882},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Splitting of viscosity solutions
AU - David Jesus
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.04882
UR - https://arxiv.org/abs/2611.04882
AB - We give a penalization argument for splitting a continuous viscosity solution of two-sided Pucci inequalities into a solution of the same inequalities with zero boundary values and a function satisfying the homogeneous Pucci inequalities and with the same boundary data, settling an open question raised by Silvestre-Sirakov.
ER -