Generalized Monge-Ampère capacities
Journal article, 2015
We study various capacities on compact Kähler manifolds which generalize the Bedford–Taylor Monge–Ampère capacity. We then use these capacities to study the existence and the regularity of solutions of complex Monge–Ampère equations.
Author
Eleonora Di Nezza
Paul Sabatier University
Hoang Chinh Lu
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
International Mathematics Research Notices
1073-7928 (ISSN) 1687-0247 (eISSN)
Vol. 2015 16 7287-7322Subject Categories
Mathematics
Roots
Basic sciences
Learning and teaching
Pedagogical work
DOI
10.1093/imrn/rnu166