Boundary trace of the solutions of the prescribed Gaussian curvature equation

Authors: Grillot M.; Véron L.

Source: Proceedings Section A: Mathematics - Royal Society of Edinburgh, Volume 130, Number 3, 4 June 2000 , pp. 527-560(34)

Publisher: Royal Society of Edinburgh

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content

Abstract:

We study the existence of a boundary trace for minorized solutions of the equation Deltau + K ( x ) e2u = 0 in the unit open ball B2 of R2. We prove that this trace is an outer regular Borel measure on partB2, not necessarily a Radon measure. We give sufficient conditions on Borel measures on partB2 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.

Document Type: Research article

The full text article is not available for purchase.

The publisher only permits individual articles to be downloaded by subscribers.

Back to top

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content
Share this item with others: These icons link to social bookmarking sites where readers can share and discover new web pages.
Page Help Click here for Page Help
Shopping cart
Tools
Sign in






Need to register?
Sign up here
Text size: A | A | A | A