C^{2,alpha} estimates and existence results for a nonconcave PDE

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. We apply this result to prove a unique continuation result for a genera...

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Bibliographic Details
Main Author: Vamsi P. Pingal Vamsi P. Pingal
Format: Article
Language:English
Published: Texas State University 2016-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/168/abstr.html