Fundamental Solutions and Two Properties of Elliptic Maximal and Minimal Operators

@inproceedings{Felmer2009FundamentalSA,
title={Fundamental Solutions and Two Properties of Elliptic Maximal and Minimal Operators},
author={Patricio Felmer and Alexander M Quaas},
year={2009}
}

For a large class of nonlinear second order elliptic differential operators, we define a concept of dimension, upon which we construct a fundamental solution. This allows us to prove two properties associated to these operators, which are generalizations of properties for the Laplacian and Pucci’s operators. If M denotes such an operator, the first property deals with the possibility of removing singularities of solutions to the equation M(Du)− u = 0, in B \ {0}, where B is a ball in RN . The… CONTINUE READING

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