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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:289

Article

Jevnikar, Aleks¹  Malchiodi, Andrea²  Wu, Ruijun³ 

[1] Univ Udine, Dept Math Comp Sci & Phys, Via Sci 206, I-33100 Udine, Italy

[2] Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56126 Pisa, Italy

[3] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

关键词: Super sinh-Gordon equations;    Existence results;    Min-max methods;    Multiplicity results;   

DOI  :  10.1016/j.jde.2021.04.022

来源: Elsevier

【 摘 要 】

In the present paper we initiate the variational analysis of a super sinh-Gordon system on compact sur-faces, 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. (c) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free