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Information × Registration Number 2117U001976, Article popup.category Розділ книги Title popup.author popup.publication 01-01-2017 popup.source_user Донецький національний університет імені Василя Стуса popup.source https://r.donnu.edu.ua/handle/123456789/1192 popup.publisher Description In the present paper we deal with the Dirichlet problem for a class of degenerate anisotropic elliptic second-order equations with L^1-right-hand sides in a bounded domain of R^n (n > 2). This class is described by the presence of a set of exponents q1, . . . , qn and a set of weighted functions ν1, . . . , νn in growth and coercitivity conditions on coefficients of the equations. The exponents qi characterize the rates of growth of the coefficients with respect to the corresponding derivatives of unknown function, and the functions νi characterize degeneration or singularity of the coefficients with respect to independent variables. Our aim is to study the uniqueness of entropy solution of the problem under consideration. popup.nrat_date 2025-05-12 Close