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Symmetric solutions of the singular minimal surface equation
Annals of Global Analysis and Geometry  (IF0.846),  Pub Date : 2021-06-21, DOI: 10.1007/s10455-021-09785-2
Ulrich Dierkes, Nico Groh

We classify all rotational symmetric solutions of the singular minimal surface equation in both cases $$\alpha <0$$ and $$\alpha >0$$. In addition, we discuss further geometric and analytic properties of the solutions, in particular stability, minimizing properties and Bernstein-type results.