Invariance of green equilibrium measure on the domain
Keyword(s):
We prove that the Green equilibrium measure and the Green equilibrium energy of a compact set K relative to the domains D and ? are the same if and only if D is nearly equal to ?, for a wide class of compact sets K. Also, we prove that equality of Green equilibrium measures arises if and only if the one domain is related with a level set of the Green equilibrium potential of K relative to the other domain.
1992 ◽
Vol 18
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pp. 301-322
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Keyword(s):
2017 ◽
Vol 2019
(16)
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pp. 5066-5086
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2017 ◽
Vol 47
(188)
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pp. 487-494
Keyword(s):