Extended duality methods for nonlinear Helmholtz equations
- We provide extensions of the dual variational method for the nonlinear Helmholtz equation from Evéquoz and Weth. In particular we prove the existence of dual ground state solutions in the Sobolev critical case, extend the dual method beyond the standard Stein Tomas and Kenig Ruiz Sogge range and generalize the method for sign changing nonlinearities.
Author: | Tolga Yeşil |
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URN: | urn:nbn:de:hebis:30:3-608748 |
DOI: | https://doi.org/10.21248/gups.60874 |
Place of publication: | Frankfurt am Main |
Other Person(s): | Tobias Weth |
Referee: | Tobias WethORCiDGND, Rupert L. Frank |
Document Type: | Doctoral Thesis |
Language: | English |
Date of Publication (online): | 2021/04/23 |
Year of first Publication: | 2021 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Granting Institution: | Johann Wolfgang Goethe-Universität |
Date of final exam: | 2021/04/16 |
Release Date: | 2021/06/30 |
Page Number: | 140 |
HeBIS-PPN: | 480901554 |
Institutes: | Informatik und Mathematik / Mathematik |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Deutsches Urheberrecht |