Calculus of Variations and Geometric Measure Theory

A. Jevnikar - A. Malchiodi - R. Wu

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

created by jevnikar on 01 Feb 2021
modified on 26 Apr 2021


Accepted Paper

Inserted: 1 feb 2021
Last Updated: 26 apr 2021

Journal: J. Diff. Eq.
Year: 2021


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