Solvability and multiplicity results for variational inequalities. (English) Zbl 0698.49004

Quittner, Pavol

Commentat. Math. Univ. Carol. 30, No. 2, 281-302 (1989).

Author’s summary: “We study the solvability and the multiplicity of solutions of variational inequalities of the following type \[ u\in K:\quad (\lambda u-F(u,\lambda),v-u)\geq 0\quad \forall v\in K, \] where K is a closed convex cone in a real Hilbert space H and F: \(H\times R\to H\) is a completely continuous, asymptotically linear map.”

Reviewer: I.Athanasopoulos

MSC:

49J40

Variational inequalities

Keywords:

Leray-Schauder degree