Abstract
After a short discussion on the general meaning of boundary value problems in physical geodesy the most classical Molodensky’s problem is considered. Recent advancements in the study of this problem, in both the classical and the gravity space approach, are discussed. In particular, some new theorems are presented, one of which also refers to the dependence of the solution on variations of the choice of the telluroid. Geodetic boundary value problems of different types are mentioned: one of these, the altimetry‐gravimetry problem, is also of valuable practical importance.

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