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Existence Results for Super-Liouville Equations on the Sphere via Bifurcation Theory |
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| Authors: | Aleks Jevnikar rea Malchiodi & Ruijun Wu |
| 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. |
| Keywords: | Super-Liouville equations existence results bifurcation theory critical groups. |
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