Lipschitz regularity of almost minimizers in a Bernoulli problem with non-standard growth

João Vitor da Silva, Analía Silva, Hernán Vivas

In this work we establish the optimal Lipschitz regularity for non-negative almost minimizers of the one-phase Bernoulli-type functional $$ \mathcal{J}_{\mathrm{G}}(u,Ω) := \int_Ω\…