Existence results for solutions to nonlinear Dirac equations on compact spin manifolds

DOI10.1007/s00229-010-0417-6zbMath1222.58012OpenAlexW1968006100MaRDI QIDQ634807

Takeshi Isobe

Publication date: 16 August 2011

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-010-0417-6

zbMATH Keywords

existence of solutionscritical pointsmultiple solutionsstrongly indefinite functionalsnonlinear Dirac equations, spin manifolds

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Elliptic equations on manifolds, general theory (58J05) Spin and Spin({}^c) geometry (53C27)

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