Publication Cover
Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 7
304
Views
9
CrossRef citations to date
0
Altmetric
Articles

Nehari-type ground state solutions for Kirchhoff type problems in ℝN

, &
Pages 1255-1266 | Received 30 Oct 2017, Accepted 11 Dec 2017, Published online: 04 Jan 2018
 

ABSTRACT

In the present paper, by employing Non-Nehari manifold method, we make use of a weak condition on the existence of Nehari-type ground state solutions for the following Kirchhoff-type problem (0.1) -a+bRN|u|2dxu+V(x)u=f(x,u),xRN;uH1(RN),(0.1)

which weakens both the variant Ambrosetti–Rabinowitz condition and the variant Nehari-type condition related to Problem (0.1). Furthermore, we allow f(x,u)u-4F(x,u) to be sign-changing, which is different from the previous literature.

AMS SUBJECT CLASSIFICATIONS:

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is partially supported by the NNFC [grant number 11571370] and Yunnan Local Colleges Applied Basic Research Projects (2017).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.