A nonlinear periodic system with nonsmooth potential of indefinite sign

Michael E. Filippakis; Nikolaos S. Papageorgiou

Displaying similar documents to “A nonlinear periodic system with nonsmooth potential of indefinite sign”

Periodic solutions for systems with nonsmooth and partially coercive potential

Michael E. Filippakis (2006)

Archivum Mathematicum

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In this paper we consider nonlinear periodic systems driven by the one-dimensional $p$ -Laplacian and having a nonsmooth locally Lipschitz potential. Using a variational approach based on the nonsmooth Critical Point Theory, we establish the existence of a solution. We also prove a multiplicity result based on a nonsmooth extension of the result of Brezis-Nirenberg (Brezis, H., Nirenberg, L., Remarks on finding critical points, Comm. Pure Appl. Math. 44 (1991), 939–963.) due to Kandilakis-Kourogenis-Papageorgiou...

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.

Quasilinear vector differential equations with maximal monotone terms and nonlinear boundary conditions

Ralf Bader, Nikolaos Papageorgiou (2000)

Annales Polonici Mathematici

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We consider a quasilinear vector differential equation which involves the p-Laplacian and a maximal monotone map. The boundary conditions are nonlinear and are determined by a generally multivalued, maximal monotone map. We prove two existence theorems. The first assumes that the maximal monotone map involved is everywhere defined and in the second we drop this requirement at the expense of strengthening the growth hypothesis on the vector field. The proofs are based on the theory of...

Displaying similar documents to “A nonlinear periodic system with nonsmooth potential of indefinite sign”

Periodic solutions for systems with nonsmooth and partially coercive potential

Periodic solutions for differential inclusions in ℝ N

Quasilinear vector differential equations with maximal monotone terms and nonlinear boundary conditions

Periodic solutions for differential inclusions in $ℝ^{N}$