Bocher Type Theorems for Degenerate Conformally Invariant Equations

Bocher Type Theorems for Degenerate Conformally Invariant Equations

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Luc Nguyen, Princeton University
Fine Hall 314

A classical theorem of Bocher states that a positive harmonic function in a punctured ball can be written as the sum of a multiple of the fundamental solution and a regular harmonic function. I will describe generalizations for degenerate $\sigma_k$ equations. Joint work with Yanyan Li.