On monotone-like mappings in Orlicz-Sobolev spaces

Vesa Mustonen; Matti Tienari

Mathematica Bohemica (1999)

  • Volume: 124, Issue: 2-3, page 255-271
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Mustonen, Vesa, and Tienari, Matti. "On monotone-like mappings in Orlicz-Sobolev spaces." Mathematica Bohemica 124.2-3 (1999): 255-271. <http://eudml.org/doc/248469>.

@article{Mustonen1999,
abstract = {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.},
author = {Mustonen, Vesa, Tienari, Matti},
journal = {Mathematica Bohemica},
keywords = {pseudomonotone; mappings of monotone type; Orlicz-Sobolev space; almost solvability; quasi-monotone map; quasimonotone; pseudomonotone; mappings of monotone type; Orlicz-Sobolev space; almost solvability; quasi-monotone map},
language = {eng},
number = {2-3},
pages = {255-271},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On monotone-like mappings in Orlicz-Sobolev spaces},
url = {http://eudml.org/doc/248469},
volume = {124},
year = {1999},
}

TY - JOUR
AU - Mustonen, Vesa
AU - Tienari, Matti
TI - On monotone-like mappings in Orlicz-Sobolev spaces
JO - Mathematica Bohemica
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 124
IS - 2-3
SP - 255
EP - 271
AB - 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.
LA - eng
KW - pseudomonotone; mappings of monotone type; Orlicz-Sobolev space; almost solvability; quasi-monotone map; quasimonotone; pseudomonotone; mappings of monotone type; Orlicz-Sobolev space; almost solvability; quasi-monotone map
UR - http://eudml.org/doc/248469
ER -

References

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