Picard Principle for Densities at a Singularity in a Nondegenerate Boundary Component

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概要

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• The purpose of this paper is to show that the Martin compactification of the open unit disk U : |z|<1 with respect to any selfadjoint elliptic equation ⊿u = Pu with a nonnegative locally Holder continuous coefficient P on U is homeomorphic to the closed unit disk |U^^-|:|z|≦l provided that the coefficient P satisfies seemingly the most serious growth condition lim__<|z|→l> sup (1 - |z|)^2P(z)⁢∞. The result will be shown in the following localized form: the Picard principle for the equation is valid at any point in the unit circle.

• 大同工業大学の論文

著者

• Tada Toshimasa

  大同工業大学

関連論文

• Picard principle for rotation free densities on the Euclidean N-space(N⪈3)
• Picard principle for a rotation free density on the punctured unit ball B^N(N⪈3) and tests for Picard principle
• Picard Principle for Densities at a Singularity in a Nondegenerate Boundary Component
• Another version of a criterion of Picard principle for rotation free densities

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