Direct Methods in the Calculus of Variations is popular PDF and ePub book, written by Enrico Giusti in 2003, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Direct Methods in the Calculus of Variations can be Read Online from any device for your convenience.
Direct Methods in the Calculus of Variations Book PDF Summary
This book provides a comprehensive discussion on the existence and regularity of minima of regular integrals in the calculus of variations and of solutions to elliptic partial differential equations and systems of the second order. While direct methods for the existence of solutions are well known and have been widely used in the last century, the regularity of the minima was always obtained by means of the Euler equation as a part of the general theory of partial differential equations. In this book, using the notion of the quasi-minimum introduced by Giaquinta and the author, the direct methods are extended to the regularity of the minima of functionals in the calculus of variations, and of solutions to partial differential equations. This unified treatment offers a substantial economy in the assumptions, and permits a deeper understanding of the nature of the regularity and singularities of the solutions. The book is essentially self-contained, and requires only a general knowledge of the elements of Lebesgue integration theory.
Detail Book of Direct Methods in the Calculus of Variations PDF
- Author : Enrico Giusti
- Release : 26 June 2024
- Publisher : World Scientific
- ISBN : 9789812380432
- Genre : Mathematics
- Total Page : 412 pages
- Language : English
- PDF File Size : 15,6 Mb
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