Abstract
Via the Fountain theorem, we obtain the existence of infinitely many solutions of the following superlinear elliptic boundary value problem:−Δu=f(x,u)inΩ,u=0on∂Ω, whereΩ⊂ℝN (N>2)is a bounded domain with smooth boundary andfis odd inuand continuous. There is no assumption near zero on the behavior of the nonlinearityf, andfdoes not satisfy the Ambrosetti-Rabinowitz type technical condition near infinity.
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