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Mandel, Rainer [Author]

Uncountably many solutions for nonlinear Helmholtz and curl-curl equations with general nonlinearities

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  • Media type: Text; E-Book; Report
  • Title: Uncountably many solutions for nonlinear Helmholtz and curl-curl equations with general nonlinearities
  • Contributor: Mandel, Rainer [Author]
  • imprint: Karlsruher Institut für Technologie, 2018-01-01
  • Language: English
  • DOI: https://doi.org/10.5445/IR/1000087841
  • ISSN: 2365-662X
  • Keywords: nonlinear Helmholtz equations ; limiting absorption principles ; curl-curl equations ; Herglotz waves ; Mathematics
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: We obtain uncountably many solutions of nonlinear Helmholtz and curl-curl equations on the entire space using a fixed point approach. As an auxiliary tool a Limiting Absorption Principle for the curl-curl operator is proved.
  • Access State: Open Access