6533b7d7fe1ef96bd12690d2

RESEARCH PRODUCT

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

Pablo BlancFernando CharroJuan J. ManfrediJulio D. Rossi

subject

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

description

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.

yearjournalcountryeditionlanguage
2022-01-01
http://arxiv.org/abs/2108.05831