Regularity Results for Nonlinear Elliptic Systems and Applications

The book contains 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 such as fluid mechanics, solid mechanics, semiconductor theory, and game theory.

Includes supplementary material: sn.pub/extras

Contenu
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 NavierStokes Equations.- Strongly Coupled Elliptic Systems.- Dual Approach to Nonlinear Elliptic Systems.- Nonlinear Elliptic Systems Arising from plasticity Theory.