Search results for "Monge-Ampère equations"

showing 3 items of 3 documents

A symmetrization result for Monge–Ampère type equations

2007

In this paper we prove some comparison results for Monge–Ampere type equations in dimension two. We also consider the case of eigenfunctions and we derive a kind of “reverse” inequalities. (© 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Mathematics::Complex VariablesGeneral MathematicsMathematical analysisComparison resultsMonge-Ampère equationEigenfunctionType (model theory)Monge-Ampère equationsDimension (vector space)Settore MAT/05 - Analisi Matematicaeigenvalue problemrearrangementsSymmetrizationAmpereEigenvalue problemsMathematicsMathematische Nachrichten
researchProduct

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

2007

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.

Monge-Ampère equationsViscosityClassical mechanicsViscosity solutions; weak solutions; Monge-Ampère equationsSettore MAT/05 - Analisi MatematicaGeneral MathematicsViscosity solutionsweak solutionsMathematical analysisMonge–Ampère equationMathematics
researchProduct

Comparison results for Monge - Ampère type equations with lower order terms

2003

In this paper we deal with Monge-Ampère type equations in two dimensions and, using the symmetrization with respect to the perimeter, we prove some comparison results for solutions of such equations involving the solutions of conveniently symmetrized problems.

RearrangementsMathematics::Complex VariablesIndependent equationApplied MathematicsMathematical analysisMathematics::Analysis of PDEsComparison resultsSymmetrizationLower orderType (model theory)Monge-Ampère equationsPerimeterSettore MAT/05 - Analisi MatematicaSimultaneous equationsFully nonlinear elliptic equationsSymmetrizationAmpereAnalysisMathematics
researchProduct