A general symmetry principle and some implications (Q1340524)
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scientific article; zbMATH DE number 703305
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A general symmetry principle and some implications |
scientific article; zbMATH DE number 703305 |
Statements
A general symmetry principle and some implications (English)
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14 December 1994
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This paper identifies a simple principle in nonlinear functional analysis which ensures that, under certain hypotheses, all the solutions \(x\) of a nonlinear equation \(F(x) = 0\), \(x \in X\), lie in a linear subspace \(X_ 1\). A wide variety of applications are given, in many branches of analysis.
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symmetry
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fixed points
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periodic solutions
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nonlinear functional analysis
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