Periodic solutions of a semilinear elliptic equation with a fractional Laplacian
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Publication:523340
DOI10.1007/s11784-016-0357-1zbMath1366.35042OpenAlexW2552144098MaRDI QIDQ523340
Changfeng Gui, Zhuoran Du, Jie Zhang
Publication date: 20 April 2017
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-016-0357-1
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Periodic solutions for one-dimensional nonlinear nonlocal problem with drift including singular nonlinearities ⋮ 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 ⋮ Further study on periodic solutions of elliptic equations with a fractional Laplacian ⋮ Periodic solutions for the one-dimensional fractional Laplacian ⋮ Long-time asymptotics for evolutionary crystal dislocation models ⋮ Periodic solutions of non-autonomous Allen-Cahn equations involving fractional Laplacian
Cites Work
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- Local and global minimizers for a variational energy involving a fractional norm
- Dual variational methods in critical point theory and applications
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- The local regularity of solutions of degenerate elliptic equations
- Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi
- An Extension Problem Related to the Fractional Laplacian
- Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
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