报告题目： Existence results for a class of quasi-linear elliptic equations

报告人：靖永涛 讲师 澳门新莆京7906not

报告时间：5月14号下午16：00-16：40

报告地点：腾讯会议 ID：358 7897 9396

报告人简介：

靖永涛，澳门新莆京7906not讲师，2017年博士毕业于首都师范大学。研究领域为变分方法及其在非线性偏微分方程中的应用。目前在研国家自然科学基金1项，发表学术论文多篇。

报告摘要：

We consider existence of multiple solutions to a class of parameter-dependent quasilinear elliptic equations and investigate sign properties of these solutions. Six solutions with sign properties are obtained by using a perturbation method incorporated into the invariant set arguments. We also obtain more and more solutions as the parameter gets larger and larger, based on a non-smooth critical point theory. It is expected that those solutions are sign-changing. For more constrained nonlinearities, we prove existence of more and more sign-changing solutions as the parameter tends to infinity.