The Non Parametric Area Functional

Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete / 3. Folge. A Series of Modern Surveys in Mathematics book series (MATHE3, volume 38)


The study of minimal surfaces is central not only in the Calculus of Variations, but in several areas of mathematics. It has a long and rich history, and in particular by now we have a fairly complete understanding of graphs of real-valued functions of minimal area. In contrast, not much is known about graphs of minimal area in codimension larger than one. In this chapter we would like to illustrate some aspects of such a problem and discuss it in the setting of Cartesian currents.


Minimal Surface Dirichlet Problem Parametric Area Rectifiable Current Plateau Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di PisaPisaItaly
  2. 2.Dipartimento di Matematica ApplicataUniversità di FirenzeFirenzeItaly
  3. 3.Faculty of Mathematics and PhysicsCharles UniversityPraha 8Čzech Republic

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