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R. Finn: Equilibrium capillary surfaces. Springer 1986, 250p. DM 158.
Seems to be a very good book, but expensive.

J. Froehlich/Michael Struwe: Variational problems on vector bundles.
Comm. Math. Physics 131 (1990), 431-464.

Hirotaka Fujimoto: Value distribution theory of the Gauss map of minimal 
surfaces in R^m. Vieweg 1993, 210p. 3-528-06467-6. DM 64.

Enrico Giusti: Minimal surfaces and functions of bounded variation.
Birkhäuser 1984, 240p.

20191 Jeremy Gray/Mario Micallef: The work of Jesse Douglas on minimal
surfaces. Bull. AMS 45/2 (2008), 293-302.

885 Stefan Hildebrandt: The calculus of variations today.
Math. Intell. 11/4 (1989), 50-60.

Stefan Hildebrandt/Anthony Tromba: Mathematics and optimal form.
Scientific American Books 1985.

22900 Stefan Hildebrandt/Anthony Tromba: Principi di minimo. Forme ottimali
in natura. SNS Pisa 2007, 290p. Eur 35.
Translation of "The parsimonious universe".

5079 J. Jost: Das Existenzproblem fuer Minimalflaechen.
Jber. DMV 91 (1989), 1-32.

J. Jost: Differentialgeometrie und Minimalflaechen.
Springer 1994, 140p. 3-540-56904-9. DM 48.

22343 Umberto Massari/Mario Miranda/Michele Miranda: The Bernstein theorem
in higher dimensions. Boll. UMI 1/2 (2008), 349-359.
18338 Mario Miranda: Superficie minime e il problema di Plateau.
Quaderni Univ. Lecce 2006/1, 92p.

5263 Frank Morgan: Minimal surfaces, crystals, shortest networks, and 
undergraduate research. Math. Intell. 14/3 (1992), 37-44.

26362 Frank Morgan: Soap bubbles and mathematics.
EMS Newsletter September 2015, 32-36.

Johannes Nitsche: On new results in the theory of minimal surfaces.
Bull. AMS 71 (1965), 195-270.

Johannes Nitsche: Vorlesungen ueber Minimalflaechen. Springer 1975, 780p.

2447 Robert Osserman: A survey of minimal surfaces. Dover 1986.

12206 Ian Stewart: Die unbegreifliche Leichtigkeit der Seifenblase.
Spektrum 1998/12, 14-18.

Michael Struwe: Plateau's problem and the calculus of variations.
Princeton UP 1989, 160p. $ 20. A research text. Among other things, the 
author shows a famous conjecture of Rellich.

6064 Michael Struwe: Das Plateausche Problem.
Jber. DMV 96 (1994), 101-116.

884 Brian White: Some recent developments in differential geometry.
Math. Intell. 11/4 (1989), 41-47.