arXiv:1504.00963 Abstract | arXiv Analytics

arXiv:1504.00963 [math.AP]Abstract References Reviews Resources

$C^{2,α}$ estimates and existence results for certain nonconcave PDE

Published 2015-04-04Version 1

We establish $C^{2,\alpha}$ estimates for PDE of the form convex $+$ a sum of weakly concave functions of the Hessian, thus generalising a recent result of Collins which is in turn inspired by a theorem of Caffarelli and Yuan. Independently, we also prove an existence result for a certain generalised Monge-Amp\`ere PDE.

Comments: 8 pages

Categories: math.AP, math.DG

Keywords: existence result, nonconcave pde, form convex, weakly concave functions, caffarelli

Related articles: Most relevant | Search more

arXiv:2303.05924 [math.AP] (Published 2023-03-09, updated 2023-04-06)

Variational formulations of ODE-Net as a mean-field optimal control problem and existence results

Noboru Isobe, Mizuho Okumura

arXiv:2204.02666 [math.AP] (Published 2022-04-06)

An existence result for $p$-Laplace equation with gradient nonlinearity in $\mathbb{R}^N$

Shilpa Gupta, Gaurav Dwivedi

arXiv:0801.3809 [math.AP] (Published 2008-01-24)

An existence result for the sandpile problem on flat tables with walls