English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The regularity theory of the degenerate complex Monge-Amp\`{e}re equation isstudied. The equation is considered on a closed compact K\"{a}hler manifold$(M,g)$ with nonnegative orthogonal bisectional curvature of dimension $m$.Given a solution $\phi$ of the degenerate complex Monge-Amp\`{e}re equation$\det(g_{i \bar{j}} + \phi_{i \bar{j}}) = f \det(g_{i \bar{j}})$, it is shownthat the Laplacian of $\phi$ can be controlled by a constant depending on$(M,g)$, $\sup f$, and $\inf_M \Delta f^{1/(m-1)}$.

A Priori Estimates of the Degenerate Monge-Ampere Equation on Kahler Manifolds of Nonnegative Bisectional Curvature