Jing Zhang, Chao Ji
This article concerns the quasilinear Schrodinger equation
where V and K are positive, continuous and periodic functions, g(x,u) is periodic in x and has subcritical growth. We use the generalized Nehari manifold approach developed by Szulkin and Weth to study the ground state solution, i.e. the nontrivial solution with least possible energy.
Submitted March 11, 2020. Published July 29, 2020.
Math Subject Classifications: 35A15, 35B33, 35B38.
Key Words: Quasilinear Schrodinger equation; Nehari manifold; ground state.
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| Jing Zhang |
Mathematics Sciences College
Inner Mongolia Normal University
Hohhot, 010022, China
| Chao Ji |
Department of Mathematics
East China University of Science and Technology
Shanghai 200237, China
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