Entropy solutions of Dirichlet problem for a class of degenerate anisotropic fourth-order equations with \(L ^{1}\)-right-hand sides (Q1612596)
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scientific article; zbMATH DE number 1788031
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Entropy solutions of Dirichlet problem for a class of degenerate anisotropic fourth-order equations with \(L ^{1}\)-right-hand sides |
scientific article; zbMATH DE number 1788031 |
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Entropy solutions of Dirichlet problem for a class of degenerate anisotropic fourth-order equations with \(L ^{1}\)-right-hand sides (English)
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25 August 2002
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This paper is devoted to study entropy solutions of the Dirichlet problem for a class of degenerate anisotropic nonlinear elliptic fourth-order equations with \(L^1\)-right-hand sides. The authors introduce a notion of the entropy solution of the problem under consideration. Under some assumptions on the involved exponents and weighted functions related to the equations they obtain existence and uniqueness of a solution of this kind.
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existence and uniqueness results
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