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. - STAMPA. - (1995), pp. 273-282. (Intervento presentato al convegno 5th International Colloquium on Differential Equations tenutosi a Plovdiv, Bulgaria nel August 18-23, 1994).
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
