Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations

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.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.identifier.uri	https://r2.donnu.edu.ua/handle/123456789/1193
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

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