Min-max solutions for super sinh-Gordon equations on compact surfaces
Analysis of PDEs
2021-04-27 v1
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
Cite
@article{arxiv.2102.00709,
title = {Min-max solutions for super sinh-Gordon equations on compact surfaces},
author = {Aleks Jevnikar and Andrea Malchiodi and Ruijun Wu},
journal= {arXiv preprint arXiv:2102.00709},
year = {2021}
}
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22 pages