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Keywords:
locally Lipschitz function; generalized subdifferential; $p$-Laplacian; homogeneous function; variational method; Poincare-Wirtinger inequality; potential indefinite in sign
locally Lipschitz function; generalized subdifferential; $p$-Laplacian; homogeneous function; variational method; Poincare-Wirtinger inequality; potential indefinite in sign
Summary:
In this paper we consider a nonlinear periodic system driven by the vector ordinary $p$-Laplacian and having a nonsmooth locally Lipschitz potential, which is positively homogeneous. Using a variational approach which exploits the homogeneity of the potential, we establish the existence of a nonconstant solution.
References:
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