Boundary Isomorphism between Dirichlet Finite Solutions of Δu = Pu and Harmonic Functions

DOI10.1017/S0027763000015555zbMath0272.31001OpenAlexW1494779308MaRDI QIDQ5179697

Ivan Jan Singer

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1017/s0027763000015555

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Second-order elliptic equations (35J15) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (7)

Order Comparisons on Canonical Isomorphisms ⋮ The roles of sets of nondensity points ⋮ Images of reduction operators ⋮ A note on images of reduction operators ⋮ Canonical isomorphisms of energy finite solutions of Δu = Pu on open Riemann surfaces ⋮ An example on canonical isomorphism ⋮ Surjective extension of the reduction operator

Cites Work

• On the behavior of solutions of \(\Delta u = Pu\) at the Royden boundary
• The Space of Dirichlet-Finite Solutions of the Equation Δu = Pu on a Riemann Surface
• Dirichlet finite solutions of $\Delta u=Pu$ on open Riemann surfaces
• Classification of Riemann surfaces

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