On the behaivor of weak convergence under nonlinearities and applications (2008)
Abstract. This paper provides a sufficient condition to guarantee the stability of weak limits under nonlinear operators acting on vector-valued Lebesgue spaces. This nonlinear framework places the...
Weak convergence under nonlinearities (2003)
MOREIRA,DIEGO R., TEIXEIRA,EDUARDO V. O.
In this paper, we prove that if a Nemytskii operator maps Lp(omega, E) into Lq(omega, F), for p, q greater than 1, E, F separable Banach spaces and F reflexive, then a sequence that converge weakly...