Periodic solutions for an ordinary \(p\)-Laplacian system (Q652118)
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scientific article; zbMATH DE number 5989943
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions for an ordinary \(p\)-Laplacian system |
scientific article; zbMATH DE number 5989943 |
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Periodic solutions for an ordinary \(p\)-Laplacian system (English)
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19 December 2011
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The authors consider periodic boundary value problems for forced \(p\)-Laplacian ordinary differential systems. Using the min-max principle, they consider existence and multiplicity of solutions. Their research generalizes and extends some known results even in the case \(p=2\). The detailed proofs suggest how to apply their reasoning to other problems. Several examples are given to illustrate the results obtained.
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\(p\)-Laplacian system
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periodic solutions
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min-max theorem
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multiple solutions
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critical point
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