We prove that nonnegative almost minimizers of the horizontal Bernoulli-type functional $$ J(u,\Omega):=\int_{\Omega}\Big( |\Hnabla u(x)|^2+\chi_{\{u>0\}}(x)\Big)\,dx$$ are Lipschitz continuous in the intrinsic sense.
Ferrari, F., Forcillo, N., Merlino, E.M. (2025). Regularity for almost minimizers of a one-phase Bernoulli-type functional in Carnot groups of step two. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 64(4), 1-32 [10.1007/s00526-025-02959-x].
Regularity for almost minimizers of a one-phase Bernoulli-type functional in Carnot groups of step two
Ferrari, Fausto
;Merlino, Enzo Maria
2025
Abstract
We prove that nonnegative almost minimizers of the horizontal Bernoulli-type functional $$ J(u,\Omega):=\int_{\Omega}\Big( |\Hnabla u(x)|^2+\chi_{\{u>0\}}(x)\Big)\,dx$$ are Lipschitz continuous in the intrinsic sense.File in questo prodotto:
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