A generalized small perturbation theorem yields interior C^{2,alpha} regularity for nonhomogeneous locally uniformly elliptic equations and measure-zero singular sets for sigma_k(D^2u)=f with positive Lipschitz f.
Caffarelli and Xavier Cabr\'e, Fully nonlinear elliptic equations, American Mathematical Society Colloquium Publications, vol
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications
A generalized small perturbation theorem yields interior C^{2,alpha} regularity for nonhomogeneous locally uniformly elliptic equations and measure-zero singular sets for sigma_k(D^2u)=f with positive Lipschitz f.