Abstract
Abstract In this paper we give a new Adams type inequality for the Sobolev space Wm,2(ℝ2m). By using this inequality in combination with mini-max method we establish the existence of nontrivial solutions to the following class of polyharmonic equations (−Δ)mu(x) + u(x) = f (|x|, u), in ℝ2m, where the nonlinearity is “superlinear” and has critical exponential growth at infinite.
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