Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Guofa Li and Bitao Cheng
Pages: [11] - [40]
Received Date: July 17, 2020
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122144
In this paper, we study the following quasilinear Schrödinger
equations:
(P)
where 
are given potentials, 
is a small parameter, g is a 
even function with 
and 
for all 
and 
satisfies superlinear growth at infinity. We
get the existence results of multiplicity of nontrivial solutions for
problem 
quasilinear Schrödinger equations, multiplicity of solutions, Mountain pass theorem, vanishing potentials.
