Electron. J. Diff. Equ.,
Vol. 2016 (2016), No. 168, pp. 110.
estimates and existence results for a nonconcave PDE
Vamsi P. Pingali
Abstract:
We establish
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 MongeAmpere PDE. Independently, we also prove an
existence result for a special case.
Submitted July 15, 2015. Published July 4, 2016.
Math Subject Classifications: 35J60, 35J96.
Key Words: EvansKrylovSafonov theory; nonconcave equations;
generalised MongeAmpere equations.
Show me the PDF file (228 KB),
TEX file for this article.

Vamsi P. Pingali
Department of Mathematics
Indian Institute of Science
Bangalore, India, 560012
email: vpingali@math.jhu.edu

Return to the EJDE web page