Nonlinear critical problems for the biharmonic operator with Hardy potential (Q493184)
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scientific article; zbMATH DE number 6481171
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear critical problems for the biharmonic operator with Hardy potential |
scientific article; zbMATH DE number 6481171 |
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Nonlinear critical problems for the biharmonic operator with Hardy potential (English)
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11 September 2015
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Let \(\Omega \) be a bounded open set in \(\mathbb R^n\), \(n\geq 5\). It is studied the existence of a nontrivial solution of the problem \(\Delta^2 u-\mu |x|^{-4} u=\lambda u+ |u|^{2n/(n-4)-2}u\) in \(\Omega \), \(u=\partial u/\partial n =0\) on \(\partial \Omega \).
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nontrivial solution
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elliptic nonlinear equation
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Dirichlet problem
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