A two-phase quenching-type problem for the p-Laplacian
Abstract
We study minimizers of non-differentiable functionals of the Alp-Phillips type with two-phases for the p-Laplacian , focusing on the geometric and analytical properties of free boundaries. The main result establishes finite (n-1)-dimensional Hausdorff measure estimates, achieved through optimal gradient decay estimates, a BV-inequality and the known classifications of blow-up profiles of the linear case.
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