Bibliography: p. 182-185.
|Statement||Enrico Giusti ; notes by Graham H. Williams.|
|Series||Notes on pure mathematics ;, 10|
|LC Classifications||QA644 .G53|
|The Physical Object|
|Pagination||xi, 185 p. ;|
|Number of Pages||185|
|LC Control Number||79306909|
The problem of finding minimal surfaces, i. e. of finding the surface of least area among those bounded by a given curve, was one of the first considered after the foundation of the calculus of variations, and is one which received a satis factory solution only in recent by: : Minimal Surfaces and Functions of Bounded Variation (Monographs in Mathematics (80)) () by Giusti, Enrico and a great selection of similar New, Used and Collectible Books available now at great Range: $ - $ The problem of finding minimal surfaces, i. The methods of Douglas and Rado were developed and extended in 3-dimensions by several authors, but none of the results was shown to hold even for minimal Read more. Additional Physical Format: Online version: Giusti, Enrico. Minimal surfaces and functions of bounded variation. Canberra: Dept. of Pure Mathematics,
In mathematical analysis, a function of bounded variation, also known as BV function, is a real-valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. For a continuous function of a single variable, being of bounded variation means that the distance along the direction of the y-axis, neglecting the. Format Book Published Boston: Birkhäuser, Language English ISBN Description xii, p.: ill. ; 24 cm. Notes. Includes index. Bibliography: p. Equation () is an important one in the theory of the minimal surface equation and it is the basis for the theory based in the space of functions of Bounded Variation. (See [G].) Lemma 2. (Existence of Minimiser in Ck) If Ck is nonempty then there is a function Uk E ck such that A(uk)::; A(v) for all v E Size: 1MB. Chapter 1 Introduction Minimal surface has zero curvature at every point on the surface. Since a surface surrounded by a boundary is minimal if it is an area minimizer, theFile Size: KB.
The problem of finding minimal surfaces, i. e. of finding the surface of least area among those bounded by a given curve, was one of the first considered after the foundation of the calculus of variations, and is one which received a satis factory solution only in recent years. Called the problem of Plateau, after the blind physicist who did beautiful experiments with soap films and . Abstract. In this chapter we can finally prove that partial regularity of minimal surfaces; namely we show that the reduced boundary ∂*E is analytic and the only possible singularities must occur in ∂E – ∂* major task in the following chapters will be to obtain an estimate for the size of ∂E – ∂* mentioned before, the main step in the regularity theory is the De Giorgi Cited by: 6. OK. Done with my soapbox. If you can afford it, get this book! If you can’t, write to Oxford and complain bitterly about their crazy prices and the fact that they are limiting access to an excellent and fascinating book! Enrico Giusti’s Minimal Surfaces and Functions of Bounded Variation: I read much of Giusti’s book and liked it a great. Find helpful customer reviews and review ratings for Functions of Bounded Variation and Free Discontinuity Problems such as Ziemer's _Weakly Differentiable Functions_ or the book by Vol'pert and Hudjaev. It is also missing some of the errors found in the latter book. Minimal Surfaces and Functions of Bounded Variation. by Enrico Guisti.5/5(2).