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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.

Differential equations, Elliptic. --- Differential equations, Partial. --- Elliptische Differentialgleichung. --- Maximum principles (Mathematics). --- Maximumprinzip. --- Potential theory (Mathematics). --- Differential equations, Elliptic --- Maximum principles (Mathematics) --- Operations Research --- Calculus --- Civil & Environmental Engineering --- Mathematics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Elliptic differential equations --- Elliptic partial differential equations --- Linear elliptic differential equations --- Mathematics. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Potential Theory. --- Partial Differential Equations. --- Applications of Mathematics. --- Differential equations, Partial --- Differential equations, Linear --- Numerical solutions --- Differential equations, partial. --- Partial differential equations --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Mathematical analysis --- Mechanics --- Math --- Science --- Engineering --- Engineering analysis