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Abstract
We study the existence of standing wave solutions for a class of quasilinear Schrödinger equations with subcritical or critical growth
where is a given potential,
is a parameter. By variational methods, we investigate the range of parameters
where the existence of non-trivial solutions can be guaranteed. Especially, by combing Resonance and Hahn–Banach theorems, we improve some previous results on
.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
This work was supported by NSFC [No. 11201154]; Research Fund for the Doctoral Program of Higher Education of China [No. 20120172120040]; the Fundamental Research Funds for the Central Universities [No. D2116670].