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arXiv · 2102.00709

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

Aleks Jevnikar·Andrea Malchiodi·Ruijun Wu
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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.

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Aleks Jevnikar, Andrea Malchiodi, Ruijun Wu. 2021-02-01. Min-max solutions for super sinh-Gordon equations on compact surfaces. https://doi.org/10.1016/j.jde.2021.04.022

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