### Minimal surfaces of codimension one [E-Book] / Umberto Massari and Mario Miranda.

##### **Minimal surfaces of codimension one [E-Book] / Umberto Massari and Mario Miranda. **

This book gives a unified presentation of different mathematical tools used to solve classical problems like Plateau's problem, Bernstein's problem, Dirichlet's problem for the Minimal Surface Equation and the Capillary problem. The fundamental idea is a quite elementary geometrical d...

Personal Name(s): | Massari, Umberto, |
---|---|

Miranda, Mario, | |

Imprint: |
Amsterdam ; New York : New York, N.Y. :
North-Holland ;
1984
Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |

Physical Description: |
1 online resource (xi, 242 p.) |

Note: |
englisch |

ISBN: |
9780444868732 0444868739 |

Series Title: |
North-Holland mathematics studies ;
91 Notas de matematica ; 95 |

Subject (LOC): | |

Full Text |

This book gives a unified presentation of different mathematical tools used to solve classical problems like Plateau's problem, Bernstein's problem, Dirichlet's problem for the Minimal Surface Equation and the Capillary problem. The fundamental idea is a quite elementary geometrical definition of codimension one surfaces. The isoperimetric property of the Euclidean balls, together with the modern theory of partial differential equations are used to solve the 19th Hilbert problem. Also included is a modern mathematical treatment of capillary problems. |