On uniqueness of entropy solutions for nonlinear elliptic degenerate anisotropic equations
Journal Title: Математичні Студії - Year 2017, Vol 47, Issue 1
Abstract
In the present paper we deal with the Dirichlet problem for a class of degenerate anisotropic elliptic second-order equations with L1-right-hand sides in a bounded domain of Rn (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.
Authors and Affiliations
Yu. S. Gorban
Keywords
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- EP ID EP310046
- DOI 10.15330/ms.47.1.59-70
- Views 53
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