most citedAn infinity Laplace equation with gradient term and mixed boundary conditions

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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…