Published Online: Apr 05, 2016
Page range: 229 - 238
Received: Jan 04, 2016
Accepted: Apr 05, 2016
DOI: https://doi.org/10.21042/AMNS.2016.1.00017
Keywords
© 2016 Jiahua Jin, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
In this paper, we concern with a class of quasilinear Kirchhoff-type problem. By using the Ekeland’s Variational Principle and Mountain Pass Theorem, the existence of multiple solutions is obtained. Besides, we also take this problem as an example to give the main frame of using critical point theory to find the weak solutions of nonlinear partial differential equation.