Existence and uniqueness of solutions for Dirichlet problems with degenerate nonlinear elliptic operators (Q505010)
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scientific article; zbMATH DE number 6676021
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness of solutions for Dirichlet problems with degenerate nonlinear elliptic operators |
scientific article; zbMATH DE number 6676021 |
Statements
Existence and uniqueness of solutions for Dirichlet problems with degenerate nonlinear elliptic operators (English)
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18 January 2017
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The paper deals with the existence and uniqueness of weak solutions of the homogeneous Dirichlet problem for a degenerate nonlinear elliptic equation with the degenerate \(p\)-biharmonic operator. Under eight main hypotheses the author asserts that the problem has a unique weak solution in the certain weighted Sobolev space. The hypotheses are very complicated. The equation in the example does not correspond to \(p=2\).
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degenerate \(p\)-biharmonic operator
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degenerate nonlinear elliptic operator
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Dirichlet problem
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weak solutions
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