New classes of entire solutions for semilinear elliptic problems in \(\mathbb R^{n}\) (Q966206)
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scientific article; zbMATH DE number 5700400
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New classes of entire solutions for semilinear elliptic problems in \(\mathbb R^{n}\) |
scientific article; zbMATH DE number 5700400 |
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New classes of entire solutions for semilinear elliptic problems in \(\mathbb R^{n}\) (English)
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23 April 2010
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Summary: The goal of this paper is to describe some new results concerning entire solutions of semilinear elliptic equations in \(\mathbb R^{n}\) with non trivial asymptotic behavior at infinity. We describe in particular the (focusing, subcritical) nonlinear Schrödinger equation and the Allen-Cahn equation, which enjoy some common features but also present rather different aspects.
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semilinear elliptic equations
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entire solutions
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Lyapunov-Schmidt reduction
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weighted spaces
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