We consider non-autonomous functionals of the form F(u,ω) = int_ω f(x,Du(x))dx,where u : ω →ℝ^N , ω subset ℝ^n . We assume that f(x, z) grows at least as |z|^p and at most as |z|^q.Moreover, f(x, z) is Holder continuous with respect to x and convex with respect to z. In this setting, we give a sufficient condition on the density f(x, z) that ensures the absence of a Lavrentiev gap..
|Titolo:||Absence of Lavrentiev gap for non-autonomous functionals with (p,q)-growth|
|Data di pubblicazione:||2019|
|Appare nelle tipologie:||1.1 Articolo in rivista|