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/

Zendy Plus

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

Zendy Tools

Zendy Open

Let $\Omega$ be a bounded, pseudoconvex domain of $\mathbb C^n$ satisfyingthe "$f$-Property". The $f$-Property is a consequence of the geometric "type"of the boundary; it holds for all pseudoconvex domains of finite type but mayalso occur for many relevant classes of domains of infinite type. In thispaper, we prove the existence, uniqueness and "weak" H\"older-regularity up tothe boundary of the solution to the Dirichlet problem for the complexMonge-Amp\`{e}re equation $$ \begin{cases}\det\left[\dfrac{\partial^2(u)}{\partial z_i\partial\bar z_j}\right]=h\ge 0 &\text{in}\quad\Omega,\\ u=\phi & \text{on} \quad b\Omega. \end{cases} $$

Boundary regularity of the solution to the Complex Monge-Amp\`{e}re equation on pseudoconvex domains of infinite type