Maximum Principles in the Potential Theory
1963 ◽
Vol 23
◽
pp. 165-187
◽
Keyword(s):
Ninomiya, in his thesis [13] on the potential theory with respect to a positive symmetric continuous kernel G on a locally compact Hausdorff space Ω, proves that G satisfies the balayage (resp. equilibrium) principle if and only if G satisfies the domination (resp. maximum) principle. He starts from the Gauss-Ninomiya variation and shows that for any given compact set K in Ω and any positive upper semi-continuous function u on K, there exists a positive measure μ on K such that its potential Gμ is ≥ u on the support of μ and Gμ≥u on K almost everywhere with respect to any positive measure with finite energy.
1974 ◽
Vol 53
◽
pp. 127-135
◽
1966 ◽
Vol 27
(1)
◽
pp. 133-137
◽
1992 ◽
Vol 44
(6)
◽
pp. 1303-1316
◽
1990 ◽
Vol 33
(1)
◽
pp. 159-164
1994 ◽
Vol 50
(3)
◽
pp. 445-449
◽
1986 ◽
Vol 41
(1)
◽
pp. 115-137
◽
1972 ◽
Vol 2
(4)
◽
pp. 287-291
◽
Keyword(s):