TY - THES A1 - Yeşil, Tolga T1 - Extended duality methods for nonlinear Helmholtz equations N2 - 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. Y1 - 2021 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/60874 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-608748 CY - Frankfurt am Main ER -