当前位置: X-MOL 学术Appl. Math. Lett. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Existence and multiplicity results for Kirchhoff-type problem with sublinear nonlinearity
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2020-11-27 , DOI: 10.1016/j.aml.2020.106900
Peng Chen , Yuanyuan Zhang

In this paper, we deal with the existence and multiplicity of solutions of Kirchhoff-type problem (0.1)a+bRN|u|2dxu+u=f(x,u),inRN,uH1(RN),where N3. Under more relaxed assumptions on f, we establish some existence criteria to guarantee that the above problem has at least one or infinitely many nontrival solutions by using the genus properties in critical point theory.



中文翻译:

次线性非线性的Kirchhoff型问题的存在性和多重性结果

本文讨论了Kirchhoff型问题(0.1)的解的存在性和多重性。-一种+b[Rñ|ü|2dXü+ü=FXü[RñüH1个[Rñ哪里 ñ3。在更宽松的假设下F,我们利用临界点理论的属性质来建立一些存在准则,以确保上述问题至少具有一个或无限多个非平凡解。

更新日期:2020-12-09
down
wechat
bug