Geodesic
On monotone-like mappings in Orlicz-Sobolev spaces
Mathematica Bohemica, Tome 124 (1999) no. 2-3, pp. 255-271

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MR Zbl
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.
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.
DOI : 10.21136/MB.1999.126248
Classification : 35J40, 35J65, 46E35, 47H05, 47H15, 47H30, 47J05
Keywords: pseudomonotone; mappings of monotone type; Orlicz-Sobolev space; almost solvability; quasi-monotone map; quasimonotone 
Mustonen, Vesa; Tienari, Matti. On monotone-like mappings in Orlicz-Sobolev spaces. Mathematica Bohemica, Tome 124 (1999) no. 2-3, pp. 255-271. doi: 10.21136/MB.1999.126248
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