A multiplicity result for a nonlinear fractional Schrödinger equation in $\mathbb{R}^N$ without the Ambrosetti-Rabinowitz condition (Q1645143)

scientific article; zbMATH DE number 6897079

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English	A multiplicity result for a nonlinear fractional Schrödinger equation in $\mathbb{R}^N$ without the Ambrosetti-Rabinowitz condition	scientific article; zbMATH DE number 6897079

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title

A multiplicity result for a nonlinear fractional Schrödinger equation in $\mathbb{R}^N$ without the Ambrosetti-Rabinowitz condition (English)

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Journal of Mathematical Analysis and Applications

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publication date

28 June 2018

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zbMATH Keywords

fractional Schrödinger equation

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Nehari manifold

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Ljusternik-Schnirelmann theory

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Publication

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full work available at URL

https://doi.org/10.1016/j.jmaa.2018.06.005

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cites work

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An Extension Problem Related to the Fractional Laplacian

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Concentration phenomenon for fractional nonlinear Schrödinger equations

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Bound state for the fractional Schrödinger equation with unbounded potential

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Concentrating standing waves for the fractional nonlinear Schrödinger equation

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Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian

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On a class of nonlinear Schrödinger equations in $\mathbb R^2$ involving critical growth

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in $\mathbb{R}^N$

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Superlinear problems

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Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN

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On fractional Schrödinger equations in ${\mathbb R}^N$ without the Ambrosetti-Rabinowitz condition

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Identifiers

zbMATH Open document ID

1393.35264

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Mathematics Subject Classification ID

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10.1016/J.JMAA.2018.06.005

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Mathematics(1 entry)

mardi Publication:1645143

A multiplicity result for a nonlinear fractional Schrödinger equation in \(\mathbb{R}^N\) without the Ambrosetti-Rabinowitz condition (Q1645143)

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Mathematics(1 entry)