scholarly journals The Dirichlet problem for the $$\alpha $$ α -singular minimal surface equation

2018 ◽  
Vol 112 (2) ◽  
pp. 213-222
Author(s):  
Rafael López
Keyword(s):  
Dirichlet Problem ◽  
Minimal Surface ◽  
Surface Equation ◽  
Minimal Surface Equation ◽  
Singular Minimal Surface

scholarly journals Symmetric solutions of the singular minimal surface equation

2021 ◽  
Author(s):  
Ulrich Dierkes ◽  
Nico Groh
Keyword(s):  
Minimal Surface ◽  
Bernstein Type ◽  
Surface Equation ◽  
Minimal Surface Equation ◽  
Singular Minimal Surface

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

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