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

 

报告人靖永涛 讲师 北京工商大学

 

报告时间:514号下午1600-1640

 

报告地点腾讯会议 ID358 7897 9396

 

报告人简介:

靖永涛,北京工商大学讲师,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.