Existence of positive ground state solutions for fractional Schrödinger equations with a general nonlinearity

DOI10.1080/00036811.2017.1307963zbMath1394.35149OpenAlexW2598209719WikidataQ58174752 ScholiaQ58174752MaRDI QIDQ4576752

Zigen Ouyang, Zhisu Liu

Publication date: 10 July 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1307963

zbMATH Keywords

nonlinear fractional Schrödinger equationground state solutions

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (7)

Multiplicity and concentration of solutions for a fractional Schrödinger–Poisson system with sign-changing potential ⋮ Concentration behaviour of normalized ground states of the mass critical fractional Schrödinger equations with ring-shaped potentials ⋮ Minimizers of fractional NLS energy functionals in \(\mathbb{R}^2\) ⋮ Properties of the minimizers for a constrained minimization problem arising in fractional NLS system ⋮ Three positive solutions for the indefinite fractional Schrödinger-Poisson systems ⋮ Existence and concentration of solutions for the sublinear fractional Schrödinger-Poisson system ⋮ Ground state solutions for fractional Schrödinger equation with variable potential and Berestycki-Lions type nonlinearity

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