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Asymptotic Mean-Value Formulas for Solutions of General Second-Order Elliptic Equations

2022

Abstract We obtain asymptotic mean-value formulas for solutions of second-order elliptic equations. Our approach is very flexible and allows us to consider several families of operators obtained as an infimum, a supremum, or a combination of both infimum and supremum, of linear operators. The families of equations that we consider include well-known operators such as Pucci, Issacs, and k-Hessian operators.

osittaisdifferentiaaliyhtälötviscosity solutionsMathematics - Analysis of PDEsGeneral MathematicsFOS: MathematicsStatistical and Nonlinear Physicsmean-value formulasIssacs equationk-Hessian equationAnalysis of PDEs (math.AP)
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