Application of elliptic regularity to bifurcation in stationary nonlinear Schrödinger equations (Q1863474)
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scientific article; zbMATH DE number 1879984
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Application of elliptic regularity to bifurcation in stationary nonlinear Schrödinger equations |
scientific article; zbMATH DE number 1879984 |
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Application of elliptic regularity to bifurcation in stationary nonlinear Schrödinger equations (English)
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11 March 2003
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The paper deals with the study of a bifurcation problem for the nonlinear Schrödinger equation on the whole space. The abstract results are obtained after establishing a regularity property related to Fredholm operators in an appropriate Sobolev space. The main result of the paper is deduced by applying the Lyapunov-Schmidt reduction method.
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bifurcation
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elliptic regularity
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Fredholm operator
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Morse index
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