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

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.
5th International Colloquium on Differential Equations
90-6764-192-8
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11589/15703
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