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 |