Existence of solutions for a family of polyharmonic and biharmonic equations (Q2368463)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions for a family of polyharmonic and biharmonic equations |
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Existence of solutions for a family of polyharmonic and biharmonic equations (English)
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19 April 2006
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The authors consider the equation \((-\Delta)^m u=g(x,u)\) in a bounded domain \(\Omega\) with Dirichlet boundary conditions. The nonlinearity grows superlinearly and subcritically in \(u\) so that solutions can be obtained via standard variational methods.
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bounded domain
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Dirichlet boundary conditions
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variational methods
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