DENSITY OF C0(Rn)\$ IN W1,p(x)(Rn)
WITH ASSUMPTION DENSITY OF C1(Rn)
Abstract. In this paper, we present a sufficient condition for the density of C0(Rn)\$ in W1,p(x)(Rn) with assumption that p(x) satisfying a condition such that C1(Rn) is dense in W1,p(x)(Rn). The origin of our work comes from a similar question of H\"{a}st\"{o} \cite{h5} under the density of continuous or Hölder continuous whether it is possible to deduce the density of smooth functions.
AMS Subject classification: 46E30, 46E35