Existence of nontrivial solutions and high energy solutions for a class of quasilinear Schrödinger equations via the dual-perturbation method (Q2015269)
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scientific article; zbMATH DE number 6306566
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of nontrivial solutions and high energy solutions for a class of quasilinear Schrödinger equations via the dual-perturbation method |
scientific article; zbMATH DE number 6306566 |
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Existence of nontrivial solutions and high energy solutions for a class of quasilinear Schrödinger equations via the dual-perturbation method (English)
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23 June 2014
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Summary: We study the quasilinear Schrödinger equation of the form \(-\Delta u+V(x)u-\Delta(u^2)u=h(x,u)\), \(x\in \mathbb{R}^N\). Under appropriate assumptions on \(V(x)\) and \(h(x,u)\), existence results of nontrivial solutions and high energy solutions are obtained by the dual-perturbation method.
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quasilinear Schrödinger equation
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dual-perturbation method
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0.91855055
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0.91855055
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0.91038585
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0.90669954
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0.90497917
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0.90370613
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0.9027004
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0.90067875
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