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arXiv · 2108.05831

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

Pablo Blanc·Fernando Charro·Juan J. Manfredi·Julio D. Rossi
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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.

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Pablo Blanc, Fernando Charro, Juan J. Manfredi, Julio D. Rossi. 2021-08-12. Asymptotic Mean-Value Formulas for Solutions of General Second-Order Elliptic Equations. https://arxiv.org/abs/2108.05831

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