TY  - JOUR
A1  - Mandel, Rainer
A1  - Scheider, Dominic
A1  - Yeşil, Tolga
T1  - Dual variational methods for a nonlinear Helmholtz equation with sign-changing nonlinearity
T2  - Calculus of variations and partial differential equations
N2  - We prove new existence results for a nonlinear Helmholtz equation with sign-changing nonlinearity of the form − delta u−k2u=Q(x)/u/p−2u, uEW2, p(RN) – delta u − k2u=Q(x)/u/p−2u, uEW2, p(RN) with k>0, k>0, N≥3N≥3, pE[2(N+1)N − 1, 2NN − 2)pE[2(N+1)N − 1, 2NN−2) and QEL ∞ (RN)QEL ∞ (RN). Due to the sign-changes of Q, our solutions have infinite Morse-Index in the corresponding dual variational formulation.
Y1  - 2021
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/63771
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-637719
SN  - 1432-0835
N1  - The first two authors are funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)-Project-ID 258734477—SFB 1173.
N1  - Open Access funding enabled and organized by Projekt DEAL.
VL  - 60
IS  - art. 133
SP  - 1
EP  - 13
PB  - Springer
CY  - Berlin ; Heidelberg
ER  -