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

Authors

Pablo Blanc, University of Jyväskylä
Fernando Charro, Wayne State UniversityFollow
Juan J. Manfredi, University of Pittsburgh
Julio D. Rossi, Universidad de Buenos Aires

Document Type

Article

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.

Disciplines

Partial Differential Equations

Comments

© 2022 Pablo Blanc et al., published by De Gruyter. This work is licensed under the Creative Commons Attribution 4.0 International License.

Recommended Citation

P. Blanc, F. Charro, J. J. Manfredi, and J. D. Rossi, Asymptotic mean-value formulas for solutions of general second-order elliptic equations, Adv. Nonlinear Stud. 22 (2022), 118-142. 10.1515/ans-2022-0007