We compare various notions of solutions of Mong34547838626e-Amp`ere equations with discontinuous functions on the right-hand side. Precisely, we show that the weak solutions defined by N. S. Trudinger can be obtained by the vanishing viscosity approximation method. Moreover, we investigate existence and uniqueness of Lp-viscosity solutions

Viscosity solutions of the Monge-Ampère equation with the right hand side in Lp

AMADORI, Anna Lisa;
2007

Abstract

We compare various notions of solutions of Mong34547838626e-Amp`ere equations with discontinuous functions on the right-hand side. Precisely, we show that the weak solutions defined by N. S. Trudinger can be obtained by the vanishing viscosity approximation method. Moreover, we investigate existence and uniqueness of Lp-viscosity solutions
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11367/26304
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