We discuss the optimal Lipschitz continuity for almost minimizers of the one-phase Bernoulli-type energy functional J_p(u, Ω) := ∫Ω |∇u|^p + χ{u>0} dx, p > 1, where Ω is a bounded domain in ℝⁿ and u ≥ 0.
Dipierro, S., Ferrari, F., Forcillo, N., Valdinoci, E. (2023). ON THE LIPSCHITZ REGULARITY FOR ALMOST MINIMIZERS OF A ONE-PHASE BERNOULLI- TYPE FUNCTIONAL FOR THE p-LAPLACIAN.
ON THE LIPSCHITZ REGULARITY FOR ALMOST MINIMIZERS OF A ONE-PHASE BERNOULLI- TYPE FUNCTIONAL FOR THE p-LAPLACIAN
F. Ferrari;
2023
Abstract
We discuss the optimal Lipschitz continuity for almost minimizers of the one-phase Bernoulli-type energy functional J_p(u, Ω) := ∫Ω |∇u|^p + χ{u>0} dx, p > 1, where Ω is a bounded domain in ℝⁿ and u ≥ 0.File in questo prodotto:
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