2007 | Book
The Maximum Principle
Authors: Patrizia Pucci, James Serrin
Publisher: Birkhäuser Basel
Book Series : Progress in Nonlinear Differential Equations and Their Applications
2007 | Book
Authors: Patrizia Pucci, James Serrin
Publisher: Birkhäuser Basel
Book Series : Progress in Nonlinear Differential Equations and Their Applications
Maximum principles are bedrock results in the theory of second order elliptic equations. This principle, simple enough in essence, lends itself to a quite remarkable number of subtle uses when combined appropriately with other notions. Intended for a wide audience, the book provides a clear and comprehensive explanation of the various maximum principles available in elliptic theory, from their beginning for linear equations to recent work on nonlinear and singular equations.