Accepted Paper

Inserted: 1 feb 2021
Last Updated: 26 apr 2021

Journal: J. Diff. Eq.
Year: 2021

Abstract:

In the present paper we initiate the variational analysis of a super sinh-Gordon system on compact surfaces, yielding the first example of non-trivial solution of min-max type. The proof is based on a linking argument jointly with a suitably defined Nehari manifold and a careful analysis of Palais-Smale sequences. We complement this study with a multiplicity result exploiting the symmetry of the problem.

Keywords: multiplicity results, existence results, min-max methods, super sinh-Gordon equations

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• SShG-coercive-existence.pdf