Existence of infinitely many solutions for a class of linear perturbed symmetric elliptic problem with nonhomogeneous boundary (Q455546)
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scientific article; zbMATH DE number 6097060
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of infinitely many solutions for a class of linear perturbed symmetric elliptic problem with nonhomogeneous boundary |
scientific article; zbMATH DE number 6097060 |
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Existence of infinitely many solutions for a class of linear perturbed symmetric elliptic problem with nonhomogeneous boundary (English)
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22 October 2012
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The author considers the linear perturbed symmetric problem \[ \begin{cases} -\Delta u =\lambda_ku+p(x,u)+f(x), & x\in\Omega,\\ u=g(x), & x\in\partial \Omega. \end{cases} \] The existence of infinitely many solutions is proved by Bolle's perturbation method.
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linear perturbed problem
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Dirichlet problem
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