Local properties of stationary solutions of some nonlinear singular Schrödinger equations (Q1176751)
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scientific article; zbMATH DE number 12460
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local properties of stationary solutions of some nonlinear singular Schrödinger equations |
scientific article; zbMATH DE number 12460 |
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Local properties of stationary solutions of some nonlinear singular Schrödinger equations (English)
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25 June 1992
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Local behaviour of solutions of the nonlinear Schrödinger equation \(- \Delta u-V(x)u+g(u)=0\), when \(V(x)\) is singular at some points and \(g(x)\) is a nondecreasing function. Emphasis is put on the case when \(V(x)=c| x|^{-2}\) and \(g\) has a power-line growth.
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time-independent, \(n\)-dimensional, nonlinear Schrödinger equation
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isolated singularity
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