Global existence and uniqueness of strong solutions to nonlinear elliptic partial differential equations are proved. The nonlinear operator under consideration is defined by Carath´eodory’s functions, and it is elliptic in sense of Campanato. The main tools of our investigations are both Leray–Schauder fixed point theorem and Aleksandrov–Pucci maximum principle.
Dirichlet problem for a class of second order nonlinear elliptic equations
Palagachev, Dian Kostadinov
1995-01-01
Abstract
Global existence and uniqueness of strong solutions to nonlinear elliptic partial differential equations are proved. The nonlinear operator under consideration is defined by Carath´eodory’s functions, and it is elliptic in sense of Campanato. The main tools of our investigations are both Leray–Schauder fixed point theorem and Aleksandrov–Pucci maximum principle.File in questo prodotto:
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