Course in Minimal Surfaces
Course in Minimal Surfaces Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Examples include monotonicity and tangent cone analysis originating in the…
Specifikacia Course in Minimal Surfaces
Course in Minimal Surfaces
Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Examples include monotonicity and tangent cone analysis originating in the regularity theory for minimal surfaces, estimates for nonlinear equations based on the maximum principle arising in Bernstein's classical work, and even Lebesgue's definition of the integral that he developed in his thesis on the Plateau problem for minimal surfaces. Many of the techniques developed have played key roles in geometry and partial differential equations.
Of the various ways of approaching minimal surfaces (from complex analysis, PDE, or geometric measure theory), the authors have chosen to focus on the PDE aspects of the theory. This book starts with the classical theory of minimal surfaces and ends up with current research topics. The book also contains some of the applications of minimal surfaces to
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