Geometrization program of semilinear elliptic equations (Q2900326)
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scientific article; zbMATH DE number 6059344
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometrization program of semilinear elliptic equations |
scientific article; zbMATH DE number 6059344 |
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21 July 2012
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semilinear elliptic equations
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Allen-Cahn equation
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nonlinear Schrödinger equation
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Geometrization program of semilinear elliptic equations (English)
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The paper deals with the study of a geometrization program of Allen-Cahn equation, where it shows a major difference between the theory of minimal surfaces and the Allen-Cahn equation -- as it is the fact that two separate interfaces interact -- leading to a major deformation in their asymptotic shapes, and of a geometrization program of the nonlinear Schrödinger equation where it shows the recent results on the study and construction of entire solutions to the nonlinear Schrödinger equation.NEWLINENEWLINEFor the entire collection see [Zbl 1235.00046].
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