Mathematics – Analysis of PDEs
Scientific paper
2011-03-18
Mathematics
Analysis of PDEs
13 pages
Scientific paper
We prove that a viscosity solution of a uniformly elliptic, fully nonlinear equation is $C^{2,\alpha}$ on the compliment of a closed set of Hausdorff dimension at most $\epsilon$ less than the dimension. The equation is assumed to be $C^1$, and the constant $\epsilon > 0$ depends only on the dimension and the ellipticity constants. The argument combines the $W^{2,\epsilon}$ estimates of Lin with a result of Savin on the $C^{2,\alpha}$ regularity of viscosity solutions which are close to quadratic polynomials.
Armstrong Scott N.
Silvestre Luis
Smart Charles K.
No associations
LandOfFree
Partial regularity of solutions of fully nonlinear uniformly elliptic equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Partial regularity of solutions of fully nonlinear uniformly elliptic equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Partial regularity of solutions of fully nonlinear uniformly elliptic equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-185822