Skip to main content Accessibility help
×
Home

Boundary trace of the solutions of the prescribed Gaussian curvature equation

  • Michele Grillot (a1) and Laurent Véron (a2)

Abstract

We study the existence of a boundary trace for minorized solutions of the equation Δu + K (x) e2u = 0 in the unit open ball B2 of R2. We prove that this trace is an outer regular Borel measure on ∂B2, not necessarily a Radon measure. We give sufficient conditions on Borel measures on ∂B2 so that they are the boundary trace of a solution of the above equation. We also give boundary removability results in terms of generalized Bessel capacities.

Copyright

Related content

Powered by UNSILO

Boundary trace of the solutions of the prescribed Gaussian curvature equation

  • Michele Grillot (a1) and Laurent Véron (a2)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.