The second order expansion of solutions to a singular Dirichlet boundary value problem (Q907714)
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scientific article; zbMATH DE number 6535662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The second order expansion of solutions to a singular Dirichlet boundary value problem |
scientific article; zbMATH DE number 6535662 |
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The second order expansion of solutions to a singular Dirichlet boundary value problem (English)
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26 January 2016
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The author studies a classical singular Dirichlet boundary value problem \(-\Delta u=b(x)g(u)+\lambda a(x)f(u)\), \(u|_{\partial\Omega}=0\). Under appropriate assumptions, a second order expansion of the solution in a neighbourhood of the boundary is provided as well as some of its dependence on the data.
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semilinear elliptic equation
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second order expansion
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singular Dirichlet boundary value problem
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