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The mathematical model of a soap film. Theory of minimal surfaces

Authors :
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
González Nogueras, María del Mar
Calvo Schwarzwälder, Marc
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
González Nogueras, María del Mar
Calvo Schwarzwälder, Marc
Publication Year :
2014

Abstract

This thesis is an introduction to the theory of minimal surfaces. After introducing the basic concepts of functional analysis, variational calculus and theory of surfaces, a theorem existence of nonparametric minimal surfaces and the more general Douglas-Courant-Tonelli method are given. The Weierstrass-Enneper representation theorems link our minimal surfaces with complex analysis and potential theory.

Details

Database :
OAIster
Notes :
application/pdf, English
Publication Type :
Electronic Resource
Accession number :
edsoai.ocn927081558
Document Type :
Electronic Resource

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