Fundamental solutions of homogeneous fully nonlinear elliptic equations

Scott N. Armstrong, Boyan Sirakov, Charles K. Smart

We prove the existence of two fundamental solutions $\Phi$ and $\tilde{\Phi }$ of the PDE \[ F(D^2Φ) = 0 \quad {in} \mathbb{R}^n \setminus \{0 \} \] for any positively homogeneous, uniform…