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In this paper, we consider a p-Laplacian equation in {R}^{N}withsign-changing potential and subcritical p-superlinear nonlinearity. By usingthe cohomological linking method for cones developed by Degiovanni andLancelotti in 2007, an existence result is obtained. We also give a result onthe existence of periodic solutions for one-dimensional $p$-Laplacian equationswhich can be proved by the same method.

Existence of Nontrivial Solutions for p-Laplacian Equations in {R}^{N}