Semi-classical analysis for fractional Schrödinger equations with fast decaying potentials (Q5867304)

scientific article; zbMATH DE number 7584262

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English	Semi-classical analysis for fractional Schrödinger equations with fast decaying potentials	scientific article; zbMATH DE number 7584262

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instance of

scholarly article

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title

Semi-classical analysis for fractional Schrödinger equations with fast decaying potentials (English)

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DOI

10.1080/00036811.2021.1880571

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13 September 2022

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full work available at URL

https://arxiv.org/abs/1907.03908

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Mathematics Subject Classification ID

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fractional Schrödinger equation

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local minimum

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compactly supported potential

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penalized technique

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MaRDI profile type

MaRDI publication profile

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OpenAlex ID

W3126508002

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cites work

Hitchhiker's guide to the fractional Sobolev spaces

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Fractional quantum mechanics and Lévy path integrals

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Semiclassical states of nonlinear Schrödinger equations

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Perturbation methods and semilinear elliptic problems on $\mathbb R^n$

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Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I

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Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations

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Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions

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Local mountain passes for semilinear elliptic problems in unbounded domains

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Semi-classical states for nonlinear Schrödinger equations

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Concentration on curves for nonlinear Schrödinger Equations

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Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)<sub>a</sub>

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On a class of nonlinear Schrödinger equations

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Uniqueness of non-linear ground states for fractional Laplacians in $\mathbb{R}$

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Uniqueness of Radial Solutions for the Fractional Laplacian

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Existence and concentration of solution for a class of fractional elliptic equation in $\mathbb {R}^N$ via penalization method

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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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Ground states and concentration phenomena for the fractional Schrödinger equation

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Concentrating solutions of nonlinear fractional Schrödinger equation with potentials

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Concentrating solutions for a class of nonlinear fractional Schrödinger equations in $\mathbb{R}^N$

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Concentrating standing waves for the fractional nonlinear Schrödinger equation

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Semi-classical solutions for fractional Schrödinger equations with potential vanishing at infinity

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Q3057556

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Multi-peak bound states for Schrödinger equations with compactly supported or unbounded potentials

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Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials

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Semi-Classical Bound States for Schrödinger Equations with Potentials Vanishing or Unbounded at Infinity

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Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials

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Nonlinear ground state representations and sharp Hardy inequalities

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Minimax theorems

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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

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Sitelinks

Mathematics(1 entry)

mardi Publication:5867304