Least energy solutions for a quasilinear Schrödinger equation with potential well
Citation and License
Boundary Value Problems 2013, 2013:9 doi:10.1186/1687-2770-2013-9Published: 21 January 2013
In this paper, we consider the existence of least energy solutions for the following quasilinear Schrödinger equation:
with having a potential well, where and is a parameter. Under suitable hypotheses, we obtain the existence of a least energy solution of () which localizes near the potential well for λ large enough by using the variational method and the concentration compactness method in an Orlicz space.
MSC: 35J60, 35B33.