A uniqueness theorem for a Robin boundary value problem of physical geodesy
Jesús Otero · Quarterly of Applied Mathematics · 1998
We get a uniqueness theorem for a Robin type boundary value problem for the Laplace equation arising in Physical Geodesy in the context of the gravimetric determination of the geoid. The boundary is an oblate ellipsoid of revolution and we have uniqueness of solutions provided that its eccentricity is (approximately) less than 0.526428.