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.
Tabela de Conteúdo
and Preliminaries.- Tangency and Comparison Theorems for Elliptic Inequalities.- Maximum Principles for Divergence Structure Elliptic Differential Inequalities.- Boundary Value Problems for Nonlinear Ordinary Differential Equations.- The Strong Maximum Principle and the Compact Support Principle.- Non-homogeneous Divergence Structure Inequalities.- The Harnack Inequality.- Applications.
Língua Inglês ● Formato PDF ● Páginas 236 ● ISBN 9783764381455 ● Tamanho do arquivo 1.9 MB ● Editora Springer Basel ● Cidade Basel ● País CH ● Publicado 2007 ● Carregável 24 meses ● Moeda EUR ● ID 2205772 ● Proteção contra cópia DRM social