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dc.contributor.author | Gorban, Yuliya | |
dc.date.accessioned | 2020-11-19T12:03:09Z | |
dc.date.available | 2020-11-19T12:03:09Z | |
dc.date.issued | 2017 | |
dc.identifier.uri | https://r.donnu.edu.ua/handle/123456789/1193 | |
dc.description.abstract | In the present article 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 q_1,...., q_n and a set of weighted functions v_1,....., v_n in growth and coercitivity conditions on coefficients of the equations. The exponents q_i characterize the rates of growth of the coefficients with respect to the corresponding derivatives of unknown function, and the functions v_i characterize degeneration or singularity of the coefficients with respect to independent variables. Our aim is to investigate the existence of entropy solutions of the problem under consideration. | en_US |
dc.language.iso | en | en_US |
dc.subject | Nonlinear elliptic degenerate anisotropic second-order equations | en_US |
dc.subject | L1 -data | en_US |
dc.subject | Dirichlet problem | en_US |
dc.subject | Existence of entropy solutions | en_US |
dc.title | Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations | en_US |
dc.type | Book chapter | en_US |