Boundary trace of the solutions of the prescribed Gaussian curvature equation
2000 ◽
Vol 130
(3)
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pp. 527-560
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Keyword(s):
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.
2015 ◽
Vol 54
(3)
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pp. 2483-2501
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Keyword(s):
2020 ◽
Vol 13
(1)
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pp. 53-74
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Keyword(s):
2008 ◽
Vol 145
(3)
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pp. 643-667
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1980 ◽
Vol 29
(2)
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pp. 206-218
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Keyword(s):
1979 ◽
Vol 27
(2)
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pp. 221-231
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2012 ◽
Vol 229
(2)
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pp. 731-769
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2008 ◽
Vol 345
(2)
◽
pp. 628-631
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Keyword(s):
2006 ◽
Vol 56
(8)
◽
pp. 1357-1369
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