Solutions of Dirac equations on compact spin manifolds via saddle point reduction

DOI10.1007/s11784-016-0350-8zbMath1365.58011OpenAlexW2547388543MaRDI QIDQ523332

Xu Yang, Rongrong Jin, Guang-Cun Lu

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/s11784-016-0350-8

zbMATH Keywords

Dirac equationscompact spin manifoldssaddle point reduction

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degree theory for nonlinear operators (47H11) Elliptic equations on manifolds, general theory (58J05) Spin and Spin({}^c) geometry (53C27)

Related Items (5)

Existence of infinitely many solutions of Dirac equations with sublinear nonlinearity ⋮ Morse homology for asymptotically linear Dirac equations on compact manifolds ⋮ Existence results for solutions to nonlinear Dirac systems on compact spin manifolds ⋮ On the multiple existence of superquadratic Dirac-harmonic maps into flat tori ⋮ Geometric analysis of the Yang-Mills-Higgs-Dirac model

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