On $\infty$-Ground States in the Plane

17 Feb 2021  ·  Erik Lindgren, Peter Lindqvist ·

We study $\infty$-Ground states in convex domains in the plane. In a polygon, the points where an $\infty$-Ground state does not satisfy the $\infty$-Laplace Equation are characterized: they are restricted to lie on specific curves, which are acting as attracting (fictitious) streamlines... The gradient is continuous outside these curves and no streamlines can meet there. read more

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Analysis of PDEs 35K65, 35P30, 35J70