The book collects many techniques that are helpful in obtaining regularity results for solutions of nonlinear systems of partial differential equations....
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Résumé
The book collects many techniques that are helpful in obtaining regularity results for solutions of nonlinear systems of partial differential equations. They are then applied in various cases to provide useful examples and relevant results, particularly in fields like fluid mechanics, solid mechanics, semiconductor theory, or game theory. In general, these techniques are scattered in the journal literature and developed in the strict context of a given model. In the book, they are presented independently of specific models, so that the main ideas are explained, while remaining applicable to varions situations. Such a presentation will facilitate application and implementation by researchers, as well as teaching to students.
Sommaire
General Technical Results
General Regularity Results
Nonlinear Elliptic Systems Arising from Stochastic Games
Nonlinear Elliptic Systems Arising from Ergodic Control
Harmonic Mappings
Nonlinear Elliptic Systems Arising from the Theory of Semiconductors
Stationary Navier-Stokes Equations
Strongly Coupled Elliptic Systems
Dual Approach to Nonlinear Elliptic Systems
Nonlinear Elliptic Systems Arising from plasticity Theory