Multiple solutions on a \(p\)-biharmonic equation with nonlocal term (Q308551)
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scientific article; zbMATH DE number 6623746
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple solutions on a \(p\)-biharmonic equation with nonlocal term |
scientific article; zbMATH DE number 6623746 |
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Multiple solutions on a \(p\)-biharmonic equation with nonlocal term (English)
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6 September 2016
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A \(p\)-biharmonic equation on an unbounded domain is considered, with the nonlinear term \(h(x)|u|^{r-2}u+H(x)|u|^{q-2}u+g(x)\). By using the mountain pass lemma and the fountain theorem, multiple solutions are obtained, with \(r\), \(q\), \(p\) in different intervals.
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\(p\)-biharmonic equation
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variational methods
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mountain pass lemma
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fountain theorem
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