most citedFundamental solutions of homogeneous fully nonlinear elliptic equations

8 citations · 9 across the 3 of their papers we have counts for

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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…