Uniqueness of critical points and maximum principles of the singular minimal surface equation

2019 ◽  
Vol 266 (7) ◽  
pp. 3927-3941 ◽  
Author(s):  
Rafael López
Keyword(s):  
Minimal Surface ◽  
Critical Points ◽  
Maximum Principles ◽  
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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