Dual ground state solutions for the critical nonlinear Helmholtz equation

Gilles Evéquoz, Tolga Yesil

Using a dual variational approach we obtain nontrivial real-valued solutions of the critical nonlinear Helmholtz equation $$ - Δu - k^{2}u = Q(x)|u|^{2^{\ast} - 2}u, \quad u \in W^…