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• W3168594345 abstract "In this paper we consider the so-called double-phase problem where the phase transition takes place across the interface of the positive and negative phase of minimizers of the functional J(v,Ω)=∫Ω(|Dv+|p+|Dv−|q)dx. We prove that minimizers exist, are Hölder regular and verify (q−1)|Du−|q=(p−1)|Du+|p on ∂{u>0}, in a weak sense. We also prove that their free boundary is C1,α a.e. with respect to the measure Δpu+, whose support is of σ-finite (n−1)-dimensional Hausdorff measure." @default.
• W3168594345 created "2021-06-22" @default.
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• W3168594345 date "2023-03-23" @default.
• W3168594345 modified "2023-10-18" @default.
• W3168594345 title "A transmission problem with (<i>p</i>, <i>q</i>)-Laplacian" @default.
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• W3168594345 doi "https://doi.org/10.1080/03605302.2023.2175216" @default.
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