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Article Contents

# Quasilinear Schrödinger equations involving concave and convex nonlinearities

• In this paper the mountain--pass theorem and the Ekeland variational principle in a suitable Orlicz space are employed to establish the existence of positive standing wave solutions for a quasilinear Schrödinger equation involving a combination of concave and convex terms. The second order nonlinearity considered in this paper corresponds to the superfluid equation in plasma physics.
Mathematics Subject Classification: Primary: 35J20, 35J60; Secondary: 35Q55.

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