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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study existence and regularity of solutions to the Dirichlet problem forthe prescribed Jacobian equation, $\det Du = f$, where $f$ is integrable andbounded away from zero. In particular, we take $f\in L^p$, where $p > 1$, or in$L\log L$. We prove that for a Baire-generic $f$ in either space there are nosolutions with the expected regularity.

The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces