Further study on periodic solutions of elliptic equations with a fractional Laplacian

DOI10.1016/J.NA.2019.01.007zbMath1436.35172arXiv1710.05043OpenAlexW2963314673MaRDI QIDQ1985843

Zhuoran Du, Changfeng Gui

Publication date: 7 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.05043

zbMATH Keywords

periodic solutionsbifurcationfractional LaplacianHamiltonian identity

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Related Items (6)

Multiple entire solutions of fractional Laplacian Schrödinger equations ⋮ Multiple periodic solutions of a class of fractional Laplacian equations ⋮ Periodic solutions of fractional Laplace equations: least period, axial symmetry and limit ⋮ Periodic solutions of Allen-Cahn system with the fractional Laplacian ⋮ Green's function for the fractional KdV equation on the periodic domain via Mittag-Leffler function ⋮ Periodic solutions of non-autonomous Allen-Cahn equations involving fractional Laplacian

Cites Work

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• Some global results for nonlinear eigenvalue problems
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• Fractional Laplacian on the torus
• An Extension Problem Related to the Fractional Laplacian

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