On a Problem Concerning the Intrinsic Characterization of Cn.
Characterizations of the Unit Ball Bn in Complex Euclidean Space.
Integrals of Subharmonic Functions on Manifolds of Nonnegative Curvature.
approximations of convex, subharmonic, and plurisubharmonic functions
Embedding of open riemannian manifolds by harmonic functions
Let be a noncompact Riemannian manifold of dimension . Then there exists a proper embedding of into by harmonic functions on . It is easy to find harmonic functions which give an embedding. However, it is more difficult to achieve properness. The proof depends on the theorems of Lax-Malgrange and Aronszajn-Cordes in the theory of elliptic equations.
Inequalities among eigenvalues of Sturm-Liouville problems.
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