Please use this identifier to cite or link to this item:
Title: Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations
Authors: Gorban, Yuliya
Keywords: Nonlinear elliptic degenerate anisotropic second-order equations
L1 -data
Dirichlet problem
Existence of entropy solutions
Issue Date: 2017
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.
Appears in Collections:Методичні рекомендації

Files in This Item:
File Description SizeFormat 
Стаття_Open_math_2017.pdf315,93 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.