6533b7defe1ef96bd12769b0
RESEARCH PRODUCT
Viscosity solutions of the Monge-Ampère equation with the right hand side in Lp
Barbara BrandoliniAnna Lisa AmadoriCristina Trombettisubject
Monge-Ampère equationsViscosityClassical mechanicsViscosity solutions; weak solutions; Monge-Ampère equationsSettore MAT/05 - Analisi MatematicaGeneral MathematicsViscosity solutionsweak solutionsMathematical analysisMonge–Ampère equationMathematicsdescription
We compare various notions of solutions of Monge-Ampère equations with discontinuous functions on the right hand side. Precisely, we show that the weak solutions defined by Trudinger can be obtained by the vanishing viscosity approximation method. Moreover, we investigate existence and uniqueness of Lp-viscosity solutions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-01-01 |