Palais-Smale condition for chiral fields (Q2735871)
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scientific article; zbMATH DE number 1641379
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Palais-Smale condition for chiral fields |
scientific article; zbMATH DE number 1641379 |
Statements
18 January 2002
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Palais-Smale condition
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chiral fields
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Morse theory
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Palais-Smale condition for chiral fields (English)
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It is considered the problem of critical points for the functional \(f(u)\), \(u\in E\) on the surface \(\{u\in E: F(u)= 0\}\) with essentially nonlinear \(F: E\to E_1\). In a variational formulated case of the problem of spherical fields in the bounded domains a Palais-Smale compactness condition is proved. The proof is not standard, but the author gives only the main steps.
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0.7707827091217041
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0.7613531351089478
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