Regularity for the two?phase singular perturbation problems
نویسندگان
چکیده
We prove that an a priori BMO gradient estimate for the two phase singular perturbation problem implies Lipschitz regularity limits. This arises in mathematical theory of combustion where reaction-diffusion is modelled by $p$-Laplacian. A key tool our approach weak energy identity. Our method proves natural and intrinsic characterization free boundary points can be applied to more general classes solutions.
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ژورنال
عنوان ژورنال: Proceedings of The London Mathematical Society
سال: 2021
ISSN: ['1460-244X', '0024-6115', '1234-5678']
DOI: https://doi.org/10.1112/plms.12402