Geodesic
Existence of extremal periodic solutions for nonlinear evolution inclusions
Archivum mathematicum, Tome 37 (2001) no. 1, pp. 9-23

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We consider a nonlinear evolution inclusion defined in the abstract framework of an evolution triple of spaces and we look for extremal periodic solutions. The nonlinear operator is only pseudomonotone coercive. Our approach is based on techniques of multivalued analysis and on the theory of operators of monotone-type. An example of a parabolic distributed parameter system is also presented.
Classification : 34C25, 34G20, 34G25, 35K55, 35R70, 47N20
Keywords: evolution triple; compact embedding; exremal solution; measurable multifunction; pseudomonotone map; Kadec-Klee property; parabolic equation; p-Laplacian 
@article{ARM_2001__37_1_a1,
     author = {Papageorgiou, Nikolaos S. and Yannakakis, Nikolaos},
     title = {Existence of extremal periodic solutions for nonlinear evolution inclusions},
     journal = {Archivum mathematicum},
     pages = {9--23},
     publisher = {mathdoc},
     volume = {37},
     number = {1},
     year = {2001},
     mrnumber = {1822759},
     zbl = {1090.34577},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2001__37_1_a1/}
}
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Papageorgiou, Nikolaos S.; Yannakakis, Nikolaos. Existence of extremal periodic solutions for nonlinear evolution inclusions. Archivum mathematicum, Tome 37 (2001) no. 1, pp. 9-23. http://geodesic.mathdoc.fr/item/ARM_2001__37_1_a1/