Singular limits for the bi-Laplacian operator with exponential nonlinearity in \(\mathbb R^4\) (Q950250)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular limits for the bi-Laplacian operator with exponential nonlinearity in \(\mathbb R^4\) |
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Singular limits for the bi-Laplacian operator with exponential nonlinearity in \(\mathbb R^4\) (English)
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22 October 2008
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The equation including bi-Laplacian operator and degenerating exponential nonlinearity is researched. The asymptotic behaviour of solutions as the parameter of degeneracy of nonlinearity tends to zero is described. Solutions which concentrate and blow-up are constructed.
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Degenerating exponential nonlinearity
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Variational structure
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Blow-up
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