Article
Multiple solutions of the Kirchhoff-type problem in RN
Authors
Abstract
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.
Keywords
Mountain Pass Theorem, Ekeland’s Variational Principle, Kirchhoff-type problem, (PS) sequence, 35J62, 58K05, 58E05
Citation
Jin, J. (2016). Multiple solutions of the kirchhoff-type problem in RN. Applied Mathematics and Nonlinear Sciences, 1(1), 229–238. https://doi.org/10.21042/AMNS.2016.1.00017
J. Jin, “Multiple solutions of the kirchhoff-type problem in RN,” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 1, pp. 229–238, 2016, doi: 10.21042/AMNS.2016.1.00017.
Jin J. Multiple solutions of the kirchhoff-type problem in RN. Applied Mathematics and Nonlinear Sciences. 2016;1(1):229–238. doi:10.21042/AMNS.2016.1.00017.
Jin, J. (2016), ‘Multiple solutions of the kirchhoff-type problem in RN’, Applied Mathematics and Nonlinear Sciences, 1(1), pp. 229–238. Available at: https://doi.org/10.21042/AMNS.2016.1.00017.
Jin, Jiahua. “Multiple Solutions of the Kirchhoff-type Problem in RN.” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 1, 2016, pp. 229–238. https://doi.org/10.21042/AMNS.2016.1.00017.
Jin, Jiahua. “Multiple Solutions of the Kirchhoff-type Problem in RN.” Applied Mathematics and Nonlinear Sciences 1, no. 1 (2016): 229–238. https://doi.org/10.21042/AMNS.2016.1.00017.
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- DOI: 10.21042/amns.2016.1.00017
- Type: article
- Source: Applied Mathematics and Nonlinear Sciences
- Published: 2016-01-01
- OpenAlex ID: W2397782978
Published by: Engineering Journals
