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The book collects many techniques that are helpul 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 various situations. Such a presentation will facilitate application and implementation by researchers, as well as teaching to students.

Mathematical control systems --- Partial differential equations --- Operational research. Game theory --- Differential equations, Elliptic --- Differential equations, Nonlinear --- Numerical solutions. --- Numerical solutions --- 517.956.2 --- 51-7 --- 517.957 --- -Differential equations, Nonlinear --- -Nonlinear differential equations --- Nonlinear theories --- Elliptic differential equations --- Elliptic partial differential equations --- Linear elliptic differential equations --- Differential equations, Linear --- Differential equations, Partial --- Elliptic equations and systems. Potential theory. Potentials --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Nonlinear equations systems --- -Elliptic equations and systems. Potential theory. Potentials --- 517.957 Nonlinear equations systems --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- 517.956.2 Elliptic equations and systems. Potential theory. Potentials --- -517.957 Nonlinear equations systems --- Nonlinear differential equations --- Numerical analysis --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc --- Partial differential equations. --- Partial Differential Equations. --- Differential equations, Elliptic - Numerical solutions --- Differential equations, Nonlinear - Numerical solutions