Existence and nonexistence of ground states for a class of quasilinear Schrödinger equations

Hui Zhang, Fubao Zhang, Junxiang Xu · Mathematical Methods in the Applied Sciences · 2016

For a class of asymptotically periodic quasilinear Schrödinger equations with three times growth, the existence and nonexistence of ground states are established. The method used here is based on the method of Nehari manifold and concentration compactness principle. Copyright © 2016 John Wiley & Sons, Ltd.

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