Uncountably Many Solutions for Nonlinear Helmholtz and Curl-Curl Equations
Abstract: We obtain uncountably many solutions of nonlinear Helmholtz and curl-curl equations on the entire space using a fixed point approach. The constructed solutions are mildly localized as they lie in the essential spectrum of the corresponding linear operator. As a new auxiliary tool a limiting absorption principle for the curl-curl operator is proved.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Uncountably Many Solutions for Nonlinear Helmholtz and Curl-Curl Equations ; volume:19 ; number:3 ; year:2019 ; pages:569-593 ; extent:25
Advanced nonlinear studies ; 19, Heft 3 (2019), 569-593 (gesamt 25)
- Creator
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Mandel, Rainer
- DOI
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10.1515/ans-2019-2050
- URN
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urn:nbn:de:101:1-2405031618047.447635016067
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 11:00 AM CEST
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Associated
- Mandel, Rainer
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