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;
2007-01-01
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 solutionsFile in questo prodotto:
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