## New answers tagged minimal-surfaces

2
votes

### A property of canonical singularity

This essentially follows from Claim 2.3.1, p. 39 of
J. Kollár, S. Kovács: Singularities of the Minimal Model Program, Cambridge Tracts in Mathematics 200 (2013).
The Authors prove the result for $m=1$,...

2
votes

Accepted

### Construction of Scherk's surface using soap films

Your question is actually related to a somewhat non-trivial property of the minimal graph equation (and related non-linear elliptic equations) that goes back to work of Jenkins and Serrin.
The basic ...

2
votes

Accepted

### Well posedness of the Plateau problem under lack of uniqueness

I am far from being an expert, but if I understand your question correctly, the answer is "no", at least for the Plateau problem in the realm of Caccioppoli sets.
Vinti's cited result [2] ...

2
votes

### Approximation of triply periodic minimal surfaces with trigonometric level sets

I believe these equations first appear in Ian Barnes' 1990 PhD thesis Microstructure of bicontinuous phases in surfactant systems.
In section 6.2.1 he derives the Fourier representation of periodic ...

Top 50 recent answers are included

#### Related Tags

minimal-surfaces × 127dg.differential-geometry × 75

riemannian-geometry × 44

geometric-measure-theory × 35

geometric-analysis × 30

elliptic-pde × 21

calculus-of-variations × 12

ap.analysis-of-pdes × 11

smooth-manifolds × 11

curvature × 11

reference-request × 7

mg.metric-geometry × 6

3-manifolds × 5

ag.algebraic-geometry × 4

surfaces × 4

minimal-model-program × 3

complex-geometry × 2

measure-theory × 2

differential-equations × 2

sp.spectral-theory × 2

curves-and-surfaces × 2

geodesics × 2

flows × 2

lorentzian-geometry × 2

periodic-functions × 2