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

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


49J40 Variational inequalities
Full Text: EuDML