| Autor: |
Ow, Wellington H. |
| Zdroj: |
Proceedings of the American Mathematical Society; 1973, Vol. 37 Issue: 1 p85-91, 7p |
| Abstrakt: |
By means of the Royden compactification of an open Riemann surface R necessary and sufficient conditions are given for a Dirichlet-finite solution of $ \Delta u = Pu\;(P \geqq 0, P\;{\nequiv}\;0)$PD-minimal on R. A relation between PD-minimal solutions and HD-minimal solutions is obtained. In addition it is shown that the dimension of the space of PD-solutions is the same as the number of P-energy nondensity points in the finite dimensional case. |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
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