Degree theory for the sum of VMO maps and maximal monotone maps

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DOI:

https://doi.org/10.4067/S0719-06462011000200006

Abstract

Let Ω ⊂ Rn be an open bounded domain, f : Ω → Rn a VMO map, and T : D(T) ⊆ Rn → Rn a maximal monotone map with D(T) ∩ Ω ≠ ∅. We construct a degree for the sum of f + T, which can be viewed as a generalization of the degree both for VMO maps and maximal monotone maps.

Keywords

Degree theory , Maximal monotone map
  • Yuqing Chen Faculty of Applied Mathematics, Guangdong University of Technology, Guangdong 510006, P. R. China.
  • Donal O‘Regan Department of Mathematics, National University of Ireland, Galway, Ireland.
  • Ravi P. Agarwal Department of Mathematical Science, Florida Institute of Technology Melbourne, FL, 32901, USA.
  • Pages: 119–126
  • Date Published: 2011-06-01
  • Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal

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Published

2011-06-01

How to Cite

[1]
Y. Chen, D. O‘Regan, and R. P. Agarwal, “Degree theory for the sum of VMO maps and maximal monotone maps”, CUBO, vol. 13, no. 2, pp. 119–126, Jun. 2011.

Issue

Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal

Section

Articles