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Feb 9, 2021 at 6:42 comment added Daniele Tampieri Hi @Doug, thank you for pointing it out. To my knowledge, the search for level curves/surfaces of harmonic function is a classical topic, not frequently encountered in modern expositions of potential theory for Laplace's equation: perhaps, there is something which may be of interest to you in the book by Kellogg or in earlier treatises of the same kind. Also treatises in mathematical physics may contain some useful information. I hope this few remarks could help you in finding what you are searching for.
Feb 8, 2021 at 23:52 comment added Doug Hi @Daniele. Thank you for your reply. It is interesting, but perhaps more sophisticated than what I was intending to ask. I'm not interested really in constructing a harmonic function, but just in finding curves where soln to laplace's eqn is constant.
Feb 8, 2021 at 15:18 history answered Daniele Tampieri CC BY-SA 4.0