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.

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Author:Tolga Yeşil
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):License LogoDeutsches Urheberrecht