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

Existence results for super-Liouville equations on on the sphere via bifurcation theory

Malchiodi, Andrea
;
2021

Abstract

We are concerned with super-Liouville equations on S2, which have variational structure with a strongly-indefinite functional. We prove the existence of non-trivial solutions by combining the use of Nehari manifolds, balancing conditions and bifurcation theory.
2021
Settore MAT/05 - Analisi Matematica
Super-Liouville equations; existence results; bifurcation theory; critical groups
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/82977
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