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

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

2010-11-24

arxiv.org/abs/1011.5284v1

Mathematics

Analysis of PDEs

19 pages, submitted

Scientific paper

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 $p$-Laplacian equations which can be proved by the same method.

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