Solutions for a quasilinear Schrödinger equation: a dual approach. (Q1427918)
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scientific article; zbMATH DE number 2056121
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| English | Solutions for a quasilinear Schrödinger equation: a dual approach. |
scientific article; zbMATH DE number 2056121 |
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Solutions for a quasilinear Schrödinger equation: a dual approach. (English)
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14 March 2004
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The authors develop a variational approach in \(H^1(\mathbb{R}^N)\) for proving the existence of solutions of a quasilinear stationary Schrödinger equation. This is achieved by means of a suitable change of variables for transforming the problem into an equation of a semilinear elliptic type to which one applies the Mountain Pass geometry.
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quasilinear Schrödinger equation
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minimax methods
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