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

Aleks Jevnikar; Andrea Malchiodi; Ruijun Wu

doi:10.1016/j.jde.2021.04.022

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

Aleks Jevnikar, Andrea Malchiodi, Ruijun Wu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	128-158
Number of pages	31
Journal	Journal of Differential Equations
Volume	289
DOIs	https://doi.org/10.1016/j.jde.2021.04.022
Publication status	Published - 15 Jul 2021
Externally published	Yes

Keywords

Existence results
Min-max methods
Multiplicity results
Super sinh-Gordon equations

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10.1016/j.jde.2021.04.022

Cite this

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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.",

keywords = "Existence results, Min-max methods, Multiplicity results, Super sinh-Gordon equations",

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AU - Malchiodi, Andrea

AU - Wu, Ruijun

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AB - 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.

KW - Existence results

KW - Min-max methods

KW - Multiplicity results

KW - Super sinh-Gordon equations

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VL - 289

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JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

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

Abstract

Keywords

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