Picard principle for finite densities

DOI10.1017/S0027763000021759zbMath0402.31003MaRDI QIDQ4186617

Mitsuru Nakai

Publication date: 1978

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

zbMATH Keywords

Boundary Value ProblemPicard Principle

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (9)

Extreme nonmonotoneity of the Picard principle ⋮ P-harmonic dimensions on ends ⋮ Picard dimension of signed radial Kato measures ⋮ The range of Picard dimensions ⋮ A remark on Picard principle, II ⋮ Nonmonotoneity of Picard Principle ⋮ Dirichlet integral and Picard principle ⋮ The distribution of Picard dimensions ⋮ Minimal thinness in an isolated singularity of the Schrödinger equation and application to the Picard principle

Cites Work

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• A test of Picard principle for rotation free densities
• Picard principle and Riemann theorem
• A test of Picard principle for rotation free densities. II
• Martin boundary over an isolated singularity of rotation free density
• Martin boundary for linear elliptic differential operators of second order in a manifold
• Riemann surfaces of infinite genus
• Les solutions positives de l'équation $\Delta u=Pu$ sur une surface de Riemann
• The space of non-negative solutions of the equation $\Delta u=pu$ on a Riemann surface
• A remark on Picard principle
• Étude de l'équation de la chaleur $\Delta u=c(M)u(M)$, $c(M)\ge0$, au voisinage d'un point singulier du coefficient

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