Geodesic
A nonlinear periodic system with nonsmooth potential of indefinite sign
Archivum mathematicum, Tome 42 (2006) no. 3, pp. 205-213 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 34A60, 34B15, 34C25, 47J30, 47N20
Keywords: locally Lipschitz function; generalized subdifferential; $p$-Laplacian; homogeneous function; variational method; Poincare-Wirtinger inequality; potential indefinite in sign 
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     title = {A nonlinear periodic system with nonsmooth potential of indefinite sign},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2006_42_3_a0/}
}
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Filippakis, Michael E.; Papageorgiou, Nikolaos S. A nonlinear periodic system with nonsmooth potential of indefinite sign. Archivum mathematicum, Tome 42 (2006) no. 3, pp. 205-213. http://geodesic.mathdoc.fr/item/ARM_2006_42_3_a0/

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