Periodic solutions for nonlocal fractional equations

DOI10.3934/cpaa.2017016zbMath1362.35317arXiv1608.03966OpenAlexW2963970096MaRDI QIDQ728533

Vincenzo Ambrosio, Giovanni Molica Bisci

Publication date: 20 December 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03966

zbMATH Keywords

variational methodsmultiple periodic solutionsfractional operatorsextension methodcritical point result

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) Fractional partial differential equations (35R11)

Related Items (15)

Periodic solutions for one-dimensional nonlinear nonlocal problem with drift including singular nonlinearities ⋮ Results on a strongly coupled, asymptotically linear pseudo-relativistic Schrödinger system: ground state, radial symmetry and Hölder regularity ⋮ On the existence of periodic solutions for a fractional Schrödinger equation ⋮ Pohozaev-type identities for a pseudo-relativistic Schrödinger operator and applications ⋮ Infinitely many periodic solutions for a fractional problem under perturbation ⋮ Periodic solutions of fractional Laplace equations: least period, axial symmetry and limit ⋮ Periodic solutions of Allen-Cahn system with the fractional Laplacian ⋮ Nonlinear equations involving the square root of the Laplacian ⋮ Further study on periodic solutions of elliptic equations with a fractional Laplacian ⋮ Periodic solutions for critical fractional problems ⋮ (Super)critical nonlocal equations with periodic boundary conditions ⋮ Positive solution for nonhomogeneous sublinear fractional equations in ⋮ Periodic solutions for the one-dimensional fractional Laplacian ⋮ Periodic solutions for a fractional asymptotically linear problem ⋮ Periodic solutions of non-autonomous Allen-Cahn equations involving fractional Laplacian

Cites Work

• Unnamed Item
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• Unique continuation properties for relativistic Schrödinger operators with a singular potential
• Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
• Hitchhiker's guide to the fractional Sobolev spaces
• Fractional semilinear Neumann problems arising from a fractional Keller-Segel model
• Periodic solutions for a superlinear fractional problem without the Ambrosetti-Rabinowitz condition
• Asymptotically linear fractional \(p\)-Laplacian equations
• Eventual regularity of the solutions to the supercritical dissipative quasi-geostrophic equation
• Superlinear problems
• Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions
• Mountain pass solutions for non-local elliptic operators
• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• A pseudo-index approach to fractional equations
• Superlinear problems without Ambrosetti and Rabinowitz growth condition
• A mountain pass theorem
• Estimates of Green function for relativistic \(\alpha\)-stable process
• Variational methods for non-local operators of elliptic type
• A general variational principle and some of its applications
• Nonlocal self-improving properties
• Periodic solutions for a pseudo-relativistic Schrödinger equation
• Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
• Fractional Laplacian on the torus
• Subelliptic and parametric equations on Carnot groups
• Superlinear nonlocal fractional problems with infinitely many solutions
• Transference of Fractional Laplacian Regularity
• Extension Problem and Harnack's Inequality for Some Fractional Operators
• Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
• Variational Methods for Nonlocal Fractional Problems
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Variational elliptic problems which are nonquadratic at infinity
• A characterization for elliptic problems on fractal sets
• A bifurcation result for non-local fractional equations
• An Extension Problem Related to the Fractional Laplacian

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