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

In \cite{LWZ}, we establish Liouville-type theorems and decay estimates forsolutions of a class of high order elliptic equations and systems without theboundedness assumptions on the solutions. In this paper, we continue our workin \cite{LWZ} to investigate the role of boundedness assumption in provingLiouville-type theorems for fully nonlinear equations. We remove theboundedness assumption of solutions which was required in the proof ofLiouville-type theorems for fully nonlinear elliptic equations or systems inhalf spaces. We also prove the Liouville-type theorems for supersolutions of asystem of fully nonlinear equations with Pucci extremal operators in halfspaces.

Liouville-type theorems for fully nonlinear elliptic equation in half spaces