Partial Differential Equations And The Calculus of Variations

Authors: Alías, Luis J., Mastrolia, Paolo, Rigoli, Marco
Provides a self-contained approach to the study of geometric and analytic aspects of maximum principles, making it a perfect companion to other books on the subject
Presents the essential analytic tools and the geometric foundations needed to understand maximum principles and their geometric applications
Includes a wide range of applications of maximum principles to different geometric problems, including some topics that are rare in current literature such as Ricci solitons
Relevant to other areas of mathematics, namely, partial differential equations on manifolds, calculus of variations, and probabilistic potential theory

From the reviews of Numerical Solution of Partial Differential Equations in Science and Engineering:
"The book by Lapidus and Pinder is a very comprehensive, even exhaustive, survey of the subject . . . [It] is unique in that it covers equally finite difference and finite element methods."
Burrelle's