Existence of solutions for the discrete Dirichlet problem involving \(p\)-mean curvature operator (Q2004193)
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scientific article; zbMATH DE number 7260925
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions for the discrete Dirichlet problem involving \(p\)-mean curvature operator |
scientific article; zbMATH DE number 7260925 |
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Existence of solutions for the discrete Dirichlet problem involving \(p\)-mean curvature operator (English)
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14 October 2020
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Summary: This work is to discuss the Dirichlet boundary value problem of the difference equation with \(p\)-mean curvature operator. Under some determinate growth conditions on the nonlinear term, the existence of one solution or two nontrivial solutions is obtained via variational methods and some analysis techniques. Examples are also given to illustrate our theorems in the last section.
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