$C^{1,\alpha}$ regularity of solutions of degenerate fully non-linear elliptic equations

Cyril Imbert (LAMA); L. Silvestre

arxiv: 1201.3739 · v1 · pith:QXLOYVWInew · submitted 2012-01-18 · 🧮 math.AP

C^(1,α) regularity of solutions of degenerate fully non-linear elliptic equations

Cyril Imbert (LAMA) , L. Silvestre This is my paper

classification 🧮 math.AP

keywords equationsestimatesalphadegenerateellipticfullynon-linearobtained

0 comments

read the original abstract

In the present paper, a class of fully non-linear elliptic equations are considered, which are degenerate as the gradient becomes small. H\"older estimates obtained by the first author (2011) are combined with new Lipschitz estimates obtained through the Ishii-Lions method in order to get $C^{1,\alpha}$ estimates for solutions of these equations.

This paper has not been read by Pith yet.

C^(1,α) regularity of solutions of degenerate fully non-linear elliptic equations

discussion (0)