Quasilinear elliptic equations with critical growth via perturbation method

By Xiangqing Liu, Jiaquan Liu, Zhi-Qiang Wang. 2013

168 citations recorded by the source corpus.

Abstract We consider a class of quasilinear Schrodinger equations which include the Modified Nonlinear Schrodinger Equations. A new perturbation approach is used to treat the critical exponent case giving new existence results.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/04ccef0d5cdb8fed375e7e6cd5754c1629c8ce4b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Xiangqing Liu
2. Zhi-Qiang Wang
3. Jiaquan Liu
4. Nikolaos S. Papageorgiou
5. Louis Jeanjean
6. Shibo Liu
7. Tingjian Luo
8. Zhaoli Liu

In Computational Theory and Mathematics

1. Zhi-Qiang Wang
2. Jiaquan Liu
3. Xiangqing Liu
4. Nikolaos S. Papageorgiou
5. Shibo Liu
6. Vicentiu D. Rădulescu
7. Louis Jeanjean
8. Thomas Bartsch

In Mathematical Physics

1. Zhi-Qiang Wang
2. Xiangqing Liu
3. Jiaquan Liu
4. Louis Jeanjean
5. Tingjian Luo
6. Shibo Liu
7. Zhaoli Liu
8. Vicentiu D. Rădulescu

Citations in the corpus

• Multiple Sign-Changing Solutions for Quasilinear Elliptic Equations via Perturbation Method (2014, background): “In [19] we have established a convergence result under conditions including one stronger than a3 and the idea has also been explored for critical exponent problems [20].”