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| in this work we establish the existence of standing wave solutions for quasilinear Schrodinger equations involving subcritical growth at resonance. By using a change of variables, the quasilinear equation is reduced to semilinear one, which associated functional is well defined in the usual Sobolev space.
The ``first" eigenvalue type of a nonnhomogeneous operator was studied. Using this fact and a variant of the monotone operator theorem, we show that the problem at resonance has at least one nontrivial solution. |
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