Some Remarks on Pohozaev-Type Identities

DOI10.6092/issn.2240-2829/8963zbMath1430.35249arXiv1811.03893OpenAlexW2963666777MaRDI QIDQ5215076

Francesca Da Lio

Publication date: 6 February 2020

Full work available at URL: https://arxiv.org/abs/1811.03893

zbMATH Keywords

Möbius transformationsharmonic mapsFourier coefficientsfractional harmonic mapsPohozaev formulas

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Harmonic maps, etc. (58E20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Fractional partial differential equations (35R11)

Related Items (1)

Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes

Cites Work

• Fractional harmonic maps into manifolds in odd dimension \(n > 1\)
• Blow-up analysis of a nonlocal Liouville-type equation
• Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps
• Three-term commutator estimates and the regularity of \(^{1}/_{2}\)-harmonic maps into spheres
• Regularity of \(n/2\)-harmonic maps into spheres
• The Pohozaev identity for the fractional Laplacian
• Everywhere discontinuous harmonic maps into spheres
• Linear and nonlinear aspects of vortices. The Ginzburg-Landau model
• On regularity theory for \(n/p\)-harmonic maps into manifolds
• On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres
• \(L^p\)-gradient harmonic maps into spheres and \(SO(N)\).
• Invariant variation problems
• Recent Developments in Nonlocal Theory
• Integro-Differential Harmonic Maps into Spheres
• Free boundary minimal surfaces: a nonlocal approach

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