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Fundamental solutions and two properties of elliptic maximal and minimal operators
2009
Transactions of the American Mathematical Society
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 where B is a ball in R N . The second property has to do
doi:10.1090/s0002-9947-09-04566-8
fatcat:a33muysx5rfe7hu237bj2hjtwq