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On monotone-like mappings in Orlicz-Sobolev spaces

Vesa Mustonen; Matti Tienari — 1999

Mathematica Bohemica

We study the mappings of monotone type in Orlicz-Sobolev spaces. We introduce a new class $(S_{m})$ as a generalization of $(S_{+})$ and extend the definition of quasimonotone map. We also prove existence results for equations involving monotone-like mappings.

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