arXiv Analytics

Sign in

arXiv:1305.3895 [math.AP]AbstractReferencesReviewsResources

W^{2,1} estimate for singular solutions to the Monge-Ampere equation

Connor Mooney

Published 2013-05-16, updated 2013-12-06Version 2

We prove an interior $W^{2,1}$ estimate for singular solutions to the Monge-Ampere equation, and construct an example to show our results are optimal.

Comments: Final version, to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci
Categories: math.AP
Related articles: Most relevant | Search more
arXiv:1304.2706 [math.AP] (Published 2013-04-09, updated 2013-08-01)
Partial regularity for singular solutions to the Monge-Ampere equation
arXiv:0901.3982 [math.AP] (Published 2009-01-26)
Very singular solutions for the thin film equation with absorption
arXiv:1709.01281 [math.AP] (Published 2017-09-05)
Monotonicity and symmetry of singular solutions to quasilinear problems

Links

Toolbox