8 citations · 9 across the 2 of their papers we have counts for
2 papers
math.AP2009★ 1 cited
An infinity Laplace equation with gradient term and mixed boundary conditions
Scott N. Armstrong, Charles K. Smart, Stephanie J. Somersille
We obtain existence, uniqueness, and stability results for the modified 1-homogeneous infinity Laplace equation \[ -Δ_\infty u - β|Du| = f, \] subject to Dirichlet or mixed Dirichl…
math.AP2009★ 8 cited
Fundamental solutions of homogeneous fully nonlinear elliptic equations
Scott N. Armstrong, Boyan Sirakov, Charles K. Smart
We prove the existence of two fundamental solutions and of the PDE \[ F(D^2Φ) = 0 \quad {in} \mathbb{R}^n \setminus \{0 \} \] for any positively homogeneous, uniform…