On concentration of positive bound states of nonlinear Schrödinger equations (Q1803531)
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scientific article; zbMATH DE number 221160
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On concentration of positive bound states of nonlinear Schrödinger equations |
scientific article; zbMATH DE number 221160 |
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On concentration of positive bound states of nonlinear Schrödinger equations (English)
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29 June 1993
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The author studies the concentration behavior of positive bound states of the nonlinear Schrödinger equation with power law nonlinearity. The most interesting result is that positive radial solutions with least energy concentrate at the origin as the coefficient of \(\Delta\psi\) tends to zero.
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standing wave solutions
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concentration compactness principle
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positive radial solutions with least energy
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