Higher Hölder regularity for mixed local and nonlocal degenerate elliptic equations
نویسندگان
چکیده
Abstract We consider equations involving a combination of local and nonlocal degenerate p -Laplace operators. The main contribution the paper is almost Lipschitz regularity for homogeneous equation Hölder continuity with an explicit exponent in general case. For certain parameters, our results also imply gradient. In addition, we establish existence, uniqueness boundedness. approach based on iteration spirit Moser combined approximation method.
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2023
ISSN: ['0944-2669', '1432-0835']
DOI: https://doi.org/10.1007/s00526-022-02401-6