Abstract:We consider the following class of quasilinear Schrödinger equations proposed in plasma physics and nonlinear optics
$-\Delta u+V(x)u+\frac {\kappa }{2}[\Delta (u^{2})]u=h(u)$
in the whole two-dimensional Euclidean space. We establish the existence and qualitative properties of standing wave solutions for a broader class of nonlinear terms
$h(s)$
with the critical exponential growth. We apply the dual approach to obtain solutions in the usual Sobolev spac… Show more
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