Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system

DOI10.1007/s13540-022-00124-1zbMath1509.35350MaRDI QIDQ6043042

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Publication date: 4 May 2023

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

rigidity resultsliding methodfractional elliptic systemsone-dimensional symmetry

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Comparison principles in context of PDEs (35B51)

Cites Work

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• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• One-dimensional symmetry of bounded entire solutions of some elliptic equations
• One-dimensional symmetry of solutions to non-cooperative elliptic systems
• Saddle-shaped positive solutions for elliptic systems with bistable nonlinearity
• Domain walls in the coupled Gross-Pitaevskii equations
• The sliding methods for the fractional \(p\)-Laplacian
• On a Liouville-type theorem for the Ginzburg-Landau system
• The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
• Monotonicity and rigidity of solutions to some elliptic systems with uniform limits
• Regularity of the obstacle problem for a fractional power of the laplace operator
• Variational Methods for Nonlocal Fractional Problems
• Euler Equations, Navier-Stokes Equations and Turbulence
• Lévy Processes and Stochastic Calculus
• On the method of moving planes and the sliding method
• Interface layer of a two-component Bose–Einstein condensate
• An Extension Problem Related to the Fractional Laplacian

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