http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Comparison principles for general potential theories and PDEs
Comparison principles for general potential theories and partial differential equations
A comprehensive introduction -- Constant-coefficient constraint sets and their subharmonics -- Dirichlet duality and f-subharmonic functions -- Monotonicity cones for constant-coefficient subequations -- A fundamental family of monotonicity cone subequations -- The zero maximum principle for dual monotonicity cones -- The comparison principle for m-monotone subequations -- Comparison on arbitrary domains by additional monotonicity -- Failure of comparison with insufficient maximal monotonicity -- Special cases : reduced constraint sets -- Subequation constraint sets and nonlinear operators -- Comparison principles for nonlinear operators.
Marco Cirant, F. Reese Harvey, H. Blaine Lawson, Kevin R. Payne.
Includes bibliographical references and index.
Princeton : Princeton University Press, 2023