A nonlinear periodic system with nonsmooth potential of indefinite sign
Filippakis, Michael E. ; Papageorgiou, Nikolaos S.
Archivum Mathematicum, Tome 042 (2006), p. 205-213 / Harvested from 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.

Publié le : 2006-01-01
Classification:  34A60,  34B15,  34C25,  47J30,  47N20 
@article{107998,
     author = {Michael E. Filippakis and Nikolaos S. Papageorgiou},
     title = {A nonlinear periodic system with nonsmooth potential of indefinite sign},
     journal = {Archivum Mathematicum},
     volume = {042},
     year = {2006},
     pages = {205-213},
     zbl = {1164.34404},
     mrnumber = {2260378},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107998}
}

Filippakis, Michael E.; Papageorgiou, Nikolaos S. A nonlinear periodic system with nonsmooth potential of indefinite sign. Archivum Mathematicum, Tome 042 (2006) pp. 205-213. http://gdmltest.u-ga.fr/item/107998/

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