Abstract
In this note we present stability results for semicoercive variational inequalities. These include in the symmetric case convex quadratic variational problems that are not necessarily strictly or uniformly convex. Here we investigate only perturbations in the right-hand side of the inequality constraint, which defines the underlying convex set of the variational inequality. Based on a recent abstract discretization theorem we derive sufficient conditions for the norm convergence of the solutions of the perturbed variational inequalities to the solution of the unperturbed one. In detail we consider a finite dimensional variational inequality that describes constrained market equilibria in economics. Further we discuss both a domain integral and a boundary integral variational inequality for Neumann-Signorini problems involving the Laplacian. These nonlinear elliptic boundary value problems model more general unilateral problems in mathematical physics.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
