Abstract
We continue our study of the properties of Newtonian potentials, now in the neighborhood of points of the distributions of matter. Our object is to find relations between the potential and the density, for the purpose indicated at the beginning of the last chapter. As it is only in the neighborhood of a point of a distribution that the density at that point makes itself feit in a preponderating way, we must of necessity investigate the behavior of the potentials at such points.
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References
Poisson, Remarques sur une equation qui se presente dans la theorie de Vattraction des spheroides. Nouveau Bulletin de la Societe philomathique de Paris, Vol. III (1813), pp. 388—392
Bacharach, Geschichte der Potentialtheorie, Göttingen, 1883, pp. 6—13.
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© 1929 Verlag Von Julius Springer
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Kellogg, O.D. (1929). Properties of Newtonian Potentials at Points Occupied by Masses. In: Foundations of Potential Theory. Die Grundlehren der Mathematischen Wissenschaften, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-90850-7_6
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DOI: https://doi.org/10.1007/978-3-642-90850-7_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-88995-0
Online ISBN: 978-3-642-90850-7
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