Borderline estimates for fully nonlinear elliptic equations
Panagiota Daskalopoulos, Tuomo Kuusi, and Giuseppe Mingione
TL;DR
This paper establishes new regularity results and gradient estimates for solutions to fully nonlinear elliptic equations, advancing understanding of their boundary behavior.
Contribution
It introduces novel borderline regularity criteria and pointwise gradient potential estimates for fully nonlinear elliptic equations.
Findings
New borderline regularity results
Pointwise gradient potential estimates
Enhanced understanding of solution boundary behavior
Abstract
We prove new borderline regularity results for solutions to fully nonlinear elliptic equations together with pointwise gradient potential estimates.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Harmonic Analysis Research · Advanced Mathematical Modeling in Engineering