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OVERDETERMINED PROBLEMS IN ANNULAR DOMAINS

    https://doi.org/10.1142/9789812794253_0102Cited by:2 (Source: Crossref)
    Abstract:

    The problem of the condenser in an annular domain is considered, and the shape of the boundary is investigated under certain overdetermined conditions relating the gradient of the solution to the distance from the origin, as well as to the boundary curvatures. Some model cases are shown, where the domain of the problem is proved to be radially symmetric.