Back to Search
Start Over
ON BOUNDARY HÖLDER GRADIENT ESTIMATES FOR SOLUTIONS TO THE LINEARIZED MONGE-AMPÈRE EQUATIONS.
- Source :
- Proceedings of the American Mathematical Society; Apr2015, Vol. 143 Issue 4, p1605-1615, 11p
- Publication Year :
- 2015
-
Abstract
- In this paper, we establish boundary Holder gradient estimates for solutions to the linearized Monge-Ampere equations with L<superscript>p</superscript> (n < p ≤ ∞) right-hand side and C¹, γ boundary values under natural assumptions on the domain, boundary data and the Monge-Ampere measure. These estimates extend our previous boundary regularity results for solutions to the linearized Monge-Ampere equations with bounded right-hand side and C<superscript>1,1</superscript> boundary data. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 143
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 101117645