Nontrivial Solutions of Dirac-Laplace Equation on Compact Spin Manifolds
Analysis of PDEs
2022-02-01 v2
Abstract
We apply the Fountain theorem to a class of nonlinear Dirac-Laplace equation on compact spin manifold. We show the standard Ambrosetti-Rabinowitz condition can be replaced by a more natural super-quadratic condition that is enough to obtain the Cerami condition under certain conditions. Multiple solutions of nonlinear Dirac-Laplace equation are obtained in this note.
Keywords
Cite
@article{arxiv.2201.09311,
title = {Nontrivial Solutions of Dirac-Laplace Equation on Compact Spin Manifolds},
author = {Xu Yang and Lei Xian},
journal= {arXiv preprint arXiv:2201.09311},
year = {2022}
}