Min-max solutions for super sinh-Gordon equations on compact surfaces (Q831098)

In this paper the authors study a super sinh-Gordon system on compact surfaces. In the main result they get the existence of a non-trivial solution of min-max type for it using variational methods. Precisely, the proof is based on a Linking argument jointly with a suitably defined Nehari manifold and a careful study of the Palais-Smale condition, which is based on spectral decomposition and suitable test functions. Finally, the authors give a multiplicity result by exploiting the \(Z_2\)-symmetry of the problem.