Does anyone know recommend me some book about the theory of the potential, especially that concerning the layer potential. Besides the theoretical part in the higher dimension, if there are concrete examples as when $n=3$ is better!
Thank you
2026-04-08 05:37:06.1775626626
Book's for potential theory: single and double layer potential
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Foundation of Potential Theory by O.D. Kellogg.
Added: Lester Helms' Potential Theory is more modern than Kellogg, but (if memory serves) Kellogg has more worked-out calculations. For the two-dimensional case it's hard to do better than Potential theory in the complex plane by T. Ransford. The two-volume Subharmonic Functions by W.K. Hayman is excellent and comprehensive. And don't forget Classical potential theory by D. Armitage and S. Gardiner, which is probably the most up to date of the books mentioned.