JournalszaaVol. 17, No. 2pp. 311–328

Degree Theory for Variational Inequalities in Complementary Systems

  • Yu.E. Khidirov

    The University of British Columbia, Vancouver, Canada
Degree Theory for Variational Inequalities in Complementary Systems cover
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Abstract

Working out degree theory for the investigation of finite-dimensional variational inequalities with continuous mappings in the usual way. All properties typical for a topologiocal degree are proved. Then the KK-degree is generalized by the Galerkin procedure for some class SA(X)S_A(X) of monotone-like operators in complementary systems. On the basis of our theory some new results concerning solvability of variational inequalities in complementary systems are proved. These results make it possible to obtain new facts on solvability of variational inequalities as well as operator equations with stongly nonlinear differential operators.

Cite this article

Yu.E. Khidirov, Degree Theory for Variational Inequalities in Complementary Systems. Z. Anal. Anwend. 17 (1998), no. 2, pp. 311–328

DOI 10.4171/ZAA/824