Periodic solutions of non-autonomous Allen-Cahn equations involving fractional Laplacian

DOI10.1515/ans-2020-2075zbMath1445.35164OpenAlexW3012145492MaRDI QIDQ785779

Zhenping Feng, Zhuoran Du

Publication date: 12 August 2020

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2020-2075

zbMATH Keywords

periodic solutionsvariational methodfractional Laplacian

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (4)

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

Cites Work

• Local and global minimizers for a variational energy involving a fractional norm
• Density estimates for a variational model driven by the Gagliardo norm
• Hitchhiker's guide to the fractional Sobolev spaces
• Layer solutions for a class of semilinear elliptic equations involving fractional Laplacians
• Traveling wave solutions of Allen-Cahn equation with a fractional Laplacian
• Periodic solutions of a semilinear elliptic equation with a fractional Laplacian
• Periodic solutions for nonlocal fractional equations
• The Wiener test for degenerate elliptic equations
• Further study on periodic solutions of elliptic equations with a fractional Laplacian
• Periodic solutions of Allen-Cahn system with the fractional Laplacian
• Periodic solutions for the one-dimensional fractional Laplacian
• Periodic solutions for a pseudo-relativistic Schrödinger equation
• Periodic solutions for the non-local operator \((-\Delta+m^{2})^{s}-m^{2s}\) with \(m\geq 0\)
• Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
• Fractional Laplacian on the torus
• Regularity of the obstacle problem for a fractional power of the laplace operator
• A Regularity Theorem for a Singular Elliptic Equation
• The local regularity of solutions of degenerate elliptic equations
• The boundary Harnack principle for the fractional Laplacian
• An Extension Problem Related to the Fractional Laplacian
• Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions

This page was built for publication: Periodic solutions of non-autonomous Allen-Cahn equations involving fractional Laplacian