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On the connection between critical point theory and Leray-Schauder degree

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Publication:1164840
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DOI10.1016/0022-247X(82)90192-5zbMath0486.47036MaRDI QIDQ1164840

Erich Rothe

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

Leray-Schauder indexrootLeray-Schauder degreeMorse numberisolated critical pointLeray-Schauder type


Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)


Related Items (1)

Morse theory on Banach manifolds



Cites Work

  • Critical point theory in Hilbert space under general boundary conditions
  • Mapping degree in Banach spaces and spectral theory
  • Analytische Theorie des Abbildungsgrades für Abbildungen in BANACHräumen
  • Gradient mappings
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