C-2,C- alpha ESTIMATES AND EXISTENCE RESULTS FOR A NONCONCAVE PDE

Pingali, Vamsi P (2016) C-2,C- alpha ESTIMATES AND EXISTENCE RESULTS FOR A NONCONCAVE PDE. In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS .

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Abstract

We establish C-2,C-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 generalised Monge-Ampere PDE. Independently, we also prove an existence result for a special case.

Item Type:	Journal Article
Publication:	ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
Publisher:	TEXAS STATE UNIV, SAN MARCOS, USA
Additional Information:	Copy right for this article belongs to the TEXAS STATE UNIV, 601 UNIVERSTITY DRIVE, SAN MARCOS, TX 78666 USA
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	08 Oct 2016 06:30
Last Modified:	08 Oct 2016 06:30
URI:	http://eprints.iisc.ac.in/id/eprint/54363

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