Sub-criticality of Schrödinger systems with antisymmetric potentials

DOI10.1016/j.matpur.2010.11.001zbMath1210.35072arXiv0911.0988OpenAlexW2060818413MaRDI QIDQ627939

Tristan Rivière

Publication date: 4 March 2011

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0988

zbMATH Keywords

regularityconservation lawslinear elliptic systemsSchrödinger systems

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Symmetries and conservation laws in mechanics of particles and systems (70S10) Second-order elliptic systems (35J47)

Related Items (4)

Integrability by compensation for Dirac equation ⋮ On regularity theory for \(n/p\)-harmonic maps into manifolds ⋮ Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps ⋮ Critical chirality in elliptic systems

Cites Work

• Unnamed Item
• 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
• An introduction to Sobolev spaces and interpolation spaces
• A remark on gauge transformations and the moving frame method
• Connections with \(L^ p \)bounds on curvature
• Conservation laws for conformally invariant variational problems
• Partial regularity for harmonic maps and related problems

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