Bibliography
Bergman, S., Schiffer, M.: Kernel functions and elliptic differential equations in mathematical physics, New York: Acad. Press 1953, 432 pp.
Brelot, M.: Éléments de la théorie classique du potentiel, 4th edition. Paris: Centre de documentation universitaire 1969, 212 pp.
Müller, C.: Spherical harmonics. 45 pp. Berlin-Heidelberg-New York: Springer 1966.
Nakai, M., Sario, L.: Existence of Dirichlet finite biharmonic functions. Ann. Acad. Sci. Fenn., to appear.
Nakai, M., Sario, L.: Existence of bounded biharmonic functions. J. Reine Angew. Math., to appear.
Sario, L., Wang, C.: Counterexamples in the biharmonic classification of Riemannian manifolds. Preprint.
Vekua, I. N.: New methods for solving elliptic equations. 358 pp. New York: Wiley 1967.
Author information
Authors and Affiliations
Additional information
The work was supported by Grant DA-ARO-D-31-124-71-G 20, University of California, Los Angeles.
Rights and permissions
About this article
Cite this article
Sario, L., Wang, C. Generators of the space of bounded biharmonic functions. Math Z 127, 273–280 (1972). https://doi.org/10.1007/BF01114930
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01114930