345 research outputs found
Existence of Nontrivial Solutions for p-Laplacian Equations in {R}^{N}
In this paper, we consider a p-Laplacian equation in {R}^{N}with
sign-changing potential and subcritical p-superlinear nonlinearity. By using
the cohomological linking method for cones developed by Degiovanni and
Lancelotti in 2007, an existence result is obtained. We also give a result on
the existence of periodic solutions for one-dimensional -Laplacian equations
which can be proved by the same method.Comment: 19 pages, submitte
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