Abstract
We develop a regularity theory for integro-differential equations with kernels deforming in space like sections of a convex solution of a Monge–Ampère equation. We prove an ABP estimate and a Harnack inequality, and derive Hölder and (Formula presented.) regularity results for solutions.
Original language | English (US) |
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Pages (from-to) | 847-871 |
Number of pages | 25 |
Journal | Communications in Partial Differential Equations |
Volume | 45 |
Issue number | 8 |
DOIs | |
State | Published - Aug 2 2020 |
Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics