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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

This paper is part of a program to establish the existence theory for theconformally invariant Dirac equation \[D_{\textit{g}}\psi=f(x)|\psi|_{\textit{g}}^{\frac2{m-1}}\psi \] on a closedspin manifold $(M,\textit{g})$ of dimension $m\geq2$ with a fixed spinstructure, where $f:M\to\mathbb{R}$ is a given function. The study on suchnonlinear equation is motivated by its important applications in Spin Geometry:when $m=2$, a solution corresponds to an isometric immersion of the universalcovering $\widetilde M$ into $\mathbb{R}^3$ with prescribed mean curvature $f$;meanwhile, for general dimensions and $f\equiv constant$, a solution providesan upper bound estimate for the B\"ar-Hijazi-Lott invariant.

Solutions of Spinorial Yamabe-type Problems on $S^m$: Perturbations and Applications