Quasi-bounded and singular solutions of \(\Delta u=pu\) on open Riemann surfaces

DOI10.1007/BF02786816zbMath0326.31001MaRDI QIDQ1225710

Wellington H. Ow

Publication date: 1975

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Second-order elliptic equations (35J15) Differentials on Riemann surfaces (30F30)

Cites Work

• Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel
• Nonnegative solutions of \(\Delta u=Pu\) on open Riemann surfaces
• A maximal regular boundary for solutions of elliptic differential equations
• Relations between Wiener and Martin boundaries
• Sur les moyennes des fonctions harmoniques et analytiques et la classification des surfaces de Riemann
• The space of non-negative solutions of the equation $\Delta u=pu$ on a Riemann surface
• Compactifications of Harmonic Spaces
• On a criterion of quasi-boundedness of positive harmonic functions
• On Wiener compactification of a Riemann surface associated with the equation $\Delta u = pu$
• Classification of Riemann surfaces
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