Abstract
We present a new approach to studying a parametric nonlinear Dirichlet problem driven by a nonhomogeneous differential operator and with a reaction which is concave (i.e., (p−1)-sublinear) near zero and convex (i.e., (p−1)-superlinear) near ±∞. The reaction term is not assumed to be odd. We show that for all small values of the parameter λ>0, the problem has infinitely many nodal solutions.
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