Strong convergence results related to strict convexity
Augusto Visintin · Communications in Partial Differential Equations · 1984
Let Ωbe endowed with a σ—, complete measure and let weakly in . If u(x) is an external point of the closed convex hull of a.e. in Ω, then strongly in cannot oscillate around u(x). Other strong convergence results are proved. Applications to the solution of nonlinear partial differential equaitons and of minimization problems are given.