On a semilinear elliptic equation with indefinite linear part (Q5956091)
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scientific article; zbMATH DE number 1708472
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a semilinear elliptic equation with indefinite linear part |
scientific article; zbMATH DE number 1708472 |
Statements
On a semilinear elliptic equation with indefinite linear part (English)
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19 September 2002
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The existence and non-existence of nontrivial solutions to a semilinear elliptic problem on an unbounded domain \(\Omega\) are studied. The set \(\Omega\) is assumed to be contained in a strip with a finite width. The arguments are variational involving the Mountain Pass Theorem.
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critical point theory
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Mountain Pass Theorem
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