@Article{JMS-54-1, author = {Jevnikar, Aleks and Malchiodi, Andrea and Wu, Ruijun}, title = {Existence Results for Super-Liouville Equations on the Sphere via Bifurcation Theory}, journal = {Journal of Mathematical Study}, year = {2021}, volume = {54}, number = {1}, pages = {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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v54n1.21.05}, url = {https://global-sci.com/article/87669/existence-results-for-super-liouville-equations-on-the-sphere-via-bifurcation-theory} }