Year: 2021
Author: Aleks Jevnikar, Andrea Malchiodi, Ruijun Wu
Journal of Mathematical Study, Vol. 54 (2021), Iss. 1 : pp. 89–122
Abstract
We are concerned with super-Liouville equations on $\mathbb{S}^2$, 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v54n1.21.05
Journal of Mathematical Study, Vol. 54 (2021), Iss. 1 : pp. 89–122
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 34
Keywords: Super-Liouville equations existence results bifurcation theory critical groups.