The mathematical model of a soap film. Theory of minimal surfaces
Tutor / director / evaluatorGonzález Nogueras, María del Mar
Document typeBachelor thesis
Rights accessOpen Access
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.