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Currently displaying 1 – 10 of 10

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On $Φ$ -bounded harmonic functions

Mitsuru Nakai — 1966

Annales de l'institut Fourier

Soit $Φ$ une fonction non négative réelle ; une fonction $u$ harmonique sur une surface de Riemann $R$ est dite $Φ$ -bornée si $Φ (| u |)$ admet une majorante harmonique. On étudie la classe $H Φ (R)$ des fonctions $Φ$ -bornées sur $R$ et on montre, en particulier, que chaque $u$ de $H Φ (R)$ est essentiellement positive pour toute $R$ , si et seulement si $\inf_{t \to \infty} Φ (t) / t > 0$ .

Extreme Nonmonotoneity of the Picard Principle.

Mitsuru Nakai; Toshimasa Tada — 1988

Mathematische Annalen

Dirichlet Finite Biharmonic Functions with Dirichlet Finite Laplacians.

Mitsuru Nakai; Leo Sario — 1971

Mathematische Zeitschrift

Inextremization and Boundedness on Open Riemann Surfaces.

Mitsuru Nakai; Moses Glasner — 1979

Mathematische Zeitschrift

Classification and Deformation of Riemannian Spaces.

Mitsuru Nakai; Leo Sario — 1967

Mathematica Scandinavica

A nonexistence test for biharmonic Green's functions of clamped bodies.

Mitsuru Nakai; Leo Sario — 1977

Mathematica Scandinavica

Existence of bounded biharmonic functions.

Mitsuru Nakai; Leo Sario — 1973

Journal für die reine und angewandte Mathematik

On Hadamard's problem for higher dimensions.

Mitsuru Nakai; Leo Sario — 1977

Journal für die reine und angewandte Mathematik

Manifolds with strong harmonic boundaries but without Green's functions of clamped bodies

Mitsuru Nakai; Leo Sario — 1976

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Existence of quasi-isometric mappings and Royden compactifications.

Nakai, Mitsuru — 2000

Annales Academiae Scientiarum Fennicae. Mathematica

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