Monotoneity and homogeneity of Picard dimensions for signed radial densities

DOI10.14492/hokmj/1351257966zbMath0878.31004OpenAlexW2042494203MaRDI QIDQ1365115

Mitsuru Nakai, Toshimasa Tada

Publication date: 5 January 1998

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1351257966

zbMATH Keywords

Riemannian manifoldLaplace-Beltrami operatorLaplaciancompact convex setradial densityPicard dimensionlocal Hölder

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Martin boundary theory (31C35) Boundary behavior of harmonic functions in higher dimensions (31B25) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Related Items (7)

Invariance of Picard dimensions under basic perturbations ⋮ Picard dimension of signed radial Kato measures ⋮ A form of classical Picard principle ⋮ A form of classical Liouville theorem ⋮ On the Picard principle for \(\Delta + \mu \) ⋮ Surfaces carrying no singular functions ⋮ Monotonicity of non-Liouville property for positive solutions of skew product elliptic equations

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