Quasilinear elliptic equations via perturbation method
By Xiangqing Liu, Jiaquan Liu, Zhi-Qiang Wang. 2012
208 citations recorded by the source corpus.
We present a new approach to studying a class of quasilinear problems including the so-called Modified Nonlinear Schrodinger Equations (MNLS). We show that solutions of quasilinear equations can be obtained as limits of 4-Laplacian perturbations.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/24b92e06c51bf672f0909538f1a6bfdf279af1e8
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In Applied Mathematics
- Zhi-Qiang Wang
- Xiangqing Liu
- Louis Jeanjean
- Jiaquan Liu
- Tingjian Luo
- Shibo Liu
- Nikolaos S. Papageorgiou
- Thomas Bartsch
In Computational Theory and Mathematics
- Zhi-Qiang Wang
- Jiaquan Liu
- Louis Jeanjean
- Xiangqing Liu
- Tingjian Luo
- Shibo Liu
- Nikolaos S. Papageorgiou
- Xianhua Tang
In Mathematical Physics
- Zhi-Qiang Wang
- Xiangqing Liu
- Louis Jeanjean
- Jiaquan Liu
- Tingjian Luo
- Thomas Bartsch
- Nicola Soave
- Shibo Liu
Citations in the corpus
- Multiple Sign-Changing Solutions for Quasilinear Elliptic Equations via Perturbation Method (2014, methodology): “We initiated this program in [19] for treating multiple solutions.”
- Multiple normalized solutions for quasi-linear Schr\"odinger equations (2014, methodology): “To overcome the lack of differentiability of the associated functional, we rely on a perturbation method developed in [27].”
- Quasilinear elliptic equations with critical growth via perturbation method (2013, methodology): “In order to overcome the difficulties, we shall use perturbation method which has been successfully used in subcritical problems recently [26].”