Dirichlet finite solutions of Δ𝑢=𝑃𝑢

Singer, Ivan J.

doi:10.1090/S0002-9939-1972-0344452-7

Dirichlet finite solutions of $\Delta u=Pu$
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Proc. Amer. Math. Soc. 32 (1972), 464-468 Request permission

Abstract:

The purpose of this paper is to give a necessary and also a sufficient condition for a Dirichlet finite harmonic function on a Riemann surface to be represented as a difference of a Dirichlet finite solution of $\Delta u = Pu(P \geqq 0)$ and a Dirichlet finite potential of signed measure.

References

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