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Displaying similar documents to “Periodic solutions for systems with nonsmooth and partially coercive potential”

A nonlinear periodic system with nonsmooth potential of indefinite sign

Michael E. Filippakis, Nikolaos S. Papageorgiou (2006)

Archivum Mathematicum

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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.

Periodic solutions for differential inclusions in ℝ N

Michael E. Filippakis, Nikolaos S. Papageorgiou (2006)

Archivum Mathematicum

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We consider first order periodic differential inclusions in ℝ N . The presence of a subdifferential term incorporates in our framework differential variational inequalities in ℝ N . We establish the existence of extremal periodic solutions and we also obtain existence results for the “convex” and “nonconvex”problems.