Existence Results for Super-Liouville Equations on the Sphere via Bifurcation Theory

Aleks Jevnikar; Andrea Malchiodi; Ruijun Wu

doi:10.4208/jms.v54n1.21.05

Existence Results for Super-Liouville Equations on the Sphere via Bifurcation Theory

Aleks Jevnikar, Andrea Malchiodi^*, Ruijun Wu

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

We are concerned with super-Liouville equations on S², which have variational structure with a strongly-indefinite functional. We prove the existence of nontrivial solutions by combining the use of Nehari manifolds, balancing conditions and bifurcation theory.

Original language	English
Pages (from-to)	89-122
Number of pages	34
Journal	Journal of Mathematical Study
Volume	54
Issue number	1
DOIs	https://doi.org/10.4208/jms.v54n1.21.05
Publication status	Published - 2021
Externally published	Yes

Keywords

bifurcation theory
critical groups
existence results
Super-Liouville equations

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10.4208/jms.v54n1.21.05

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title = "Existence Results for Super-Liouville Equations on the Sphere via Bifurcation Theory",

abstract = "We are concerned with super-Liouville equations on S2, which have variational structure with a strongly-indefinite functional. We prove the existence of nontrivial solutions by combining the use of Nehari manifolds, balancing conditions and bifurcation theory.",

keywords = "bifurcation theory, critical groups, existence results, Super-Liouville equations",

author = "Aleks Jevnikar and Andrea Malchiodi and Ruijun Wu",

year = "2021",

doi = "10.4208/jms.v54n1.21.05",

language = "English",

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T1 - Existence Results for Super-Liouville Equations on the Sphere via Bifurcation Theory

AU - Jevnikar, Aleks

AU - Malchiodi, Andrea

AU - Wu, Ruijun

PY - 2021

Y1 - 2021

N2 - We are concerned with super-Liouville equations on S2, which have variational structure with a strongly-indefinite functional. We prove the existence of nontrivial solutions by combining the use of Nehari manifolds, balancing conditions and bifurcation theory.

AB - We are concerned with super-Liouville equations on S2, which have variational structure with a strongly-indefinite functional. We prove the existence of nontrivial solutions by combining the use of Nehari manifolds, balancing conditions and bifurcation theory.

KW - bifurcation theory

KW - critical groups

KW - existence results

KW - Super-Liouville equations

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U2 - 10.4208/jms.v54n1.21.05

DO - 10.4208/jms.v54n1.21.05

M3 - Article

AN - SCOPUS:85101829694

SN - 2617-8702

VL - 54

SP - 89

EP - 122

JO - Journal of Mathematical Study

JF - Journal of Mathematical Study

IS - 1

ER -

Existence Results for Super-Liouville Equations on the Sphere via Bifurcation Theory

Abstract

Keywords

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