Bernoulli free boundary problem for the infinity Laplacian
classification
🧮 math.AP
keywords
bernoulliinfinitylaplacianproblemboundaryfreeinteriorsolutions
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We study the interior Bernoulli free boundary problem for the infinity Laplacian. Our results cover existence, uniqueness, and characterization of solutions (above a threshold representing the "infinity Bernoulli constant"), their regularity, and their relationship with the solutions to the interior Bernoulli problem for the $p$-laplacian.
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