From the reviews "The principal theme of this book is the existence and differentiability of solutions of variational problems involving multiple integrals. In order to carry out this theme, the author discusses a large variety of related topics which are essential to its development. As a result, the book contains a wealth of material essential to the researcher concerned with multipleintegral variational problems and with elliptic partial differential equations. The book not only reports the reseaches o the author but also the contributions of his contemporaries in the same and related fields. The book undoubtedly will become a standard reference for researchers in these areas. As is to beexpected in a book of this type, the author does not discuss applications to engineering, physics, etc. The book is addressed mainly to mature mathematicalanalysts. However, any student of analysis will be greatly rewarded by a careful study of this book." M.R. Hestenes in Journal of Optimization Theory and Applications INDICE: 1 Introduction.- 2 Semi-classical results.- 3 The spaces Hpm and Hp0m.- 4 Existence theorems.- 5 Differentiability of weak solutions.- 6 Regularity theorems for the solutions of general elliptic systems and boundary volue problems.- 7 A variational method in the theory of harmonic integrals.- 8 The d-Neumann peoblem on strongly pseudo-convex manifolds.- 9 Introduction to parametric Integrals; two dimensional problems.-10 The higher dimensional PLATEAU problems.- Bibliography.- Index.
- ISBN: 978-3-540-69915-6
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 506
- Fecha Publicación: 01/09/2008
- Nº Volúmenes: 1
- Idioma: Inglés