Publication Cover
Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 7
176
Views
3
CrossRef citations to date
0
Altmetric
Articles

Infinitely many solutions for a class of quasilinear Schrödinger equations involving sign-changing weight functions

Pages 1347-1366 | Received 13 Jul 2017, Accepted 23 Dec 2017, Published online: 08 Jan 2018
 

ABSTRACT

Using a change of variables and the constrained critical point theory, we first prove the existence and multiplicity of solutions for a class of quasilinear Schrödinger equations. Next, we consider a quasilinear equation related to the superfluid film in plasma physics with a sign-changing weight function. Using a new natural constraint, we establish the existence of infinitely many solutions for the equation.

AMS SUBJECT CLASSIFICATIONS:

Acknowledgements

The author would like to thank Prof. Andrzej Szulkin for his valuable comments and suggestions.

Notes

No potential conflict of interest was reported by the author.

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.