Nonautonomous nonlinear scalar field equations in \(R^ 2\) (Q685823)
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scientific article; zbMATH DE number 425464
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonautonomous nonlinear scalar field equations in \(R^ 2\) |
scientific article; zbMATH DE number 425464 |
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Nonautonomous nonlinear scalar field equations in \(R^ 2\) (English)
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18 October 1993
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The authors get one positive and infinitely many radially symmetric solutions for a class of nonautonomous nonlinear scalar field equations in \(\mathbb{R}^ 2\). They use the Mountain Pass Lemma and the known method to approximate equations with strong nonlinear terms. Then the Pohozaev identity is used to get a uniform estimate for the approximate solutions. A short discussion on previous results in this direction is also presented.
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Mountain Pass lemma
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radially symmetric solutions
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nonautonomous nonlinear scalar field equations
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Pohozaev identity
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