A multilayer mono-material PE assembly, comprising at least two layers: - a first layer consisting of one film of high-density polyethylene (HDPE) having a density value equal to or higher than 0.935 g/cm 3, and - a second layer comprising at least one sublayer comprising a polyethylene blend, each PE blend comprising with respect to the total amount of each sublayer: - from 5 to 85 wt% of polyethylene resin having a density value in the range from 0.914 to 0.930 g/cm 3, - at least 15 wt% of a polyethylene component selected from the group consisting of i) a very low-density polyethylene (VLDPE) and/or an ultra low-density polyethylene (ULDPE) and having a density value ≤ 0.912 g/cm 3, ii) a polyethylene copolymer selected from the group consisting of polyolefin plastomer, ethylene-vinyl acetate, ethylene acrylic acid, ethylene n-butyl acrylate, ethylene ethyl acrylate, ethylene 2-ethyl hexyl acrylate (EEHA) and ethylene-methacrylic acid (EMAA), wherein the ethylene monomer is higher than or equal to 75 wt% and iii) a mixture of i) and ii), and wherein the difference of the melting point (ΔT m) of the first layer with respect to the second layer is in the range from 5 to 80°C. - a first layer consisting of one film of high-density polyethylene (HDPE) having a density value equal to or higher than 0.935 g/cm 3, and - a second layer comprising at least one sublayer comprising a polyethylene blend, each PE blend comprising with respect to the total amount of each sublayer: - from 5 to 85 wt% of polyethylene resin having a density value in the range from 0.914 to 0.930 g/cm 3, - at least 15 wt% of a polyethylene component selected from the group consisting of i) a very low-density polyethylene (VLDPE) and/or an ultra low-density polyethylene (ULDPE) and having a density value ≤ 0.912 g/cm 3, ii) a polyethylene copolymer selected from the group consisting of polyolefin plastomer, ethylene-vinyl acetate, ethylene acrylic acid, ethylene n-butyl acrylate, ethylene ethyl acrylate, ethylene 2-ethyl hexyl acrylate (EEHA) and ethylene-methacrylic acid (EMAA), wherein the ethylene monomer is higher than or equal to 75 wt% and iii) a mixture of i) and ii), and - from 5 to 85 wt% of polyethylene resin having a density value in the range from 0.914 to 0.930 g/cm 3, - at least 15 wt% of a polyethylene component selected from the group consisting of i) a very low-density polyethylene (VLDPE) and/or an ultra low-density polyethylene (ULDPE) and having a density value ≤ 0.912 g/cm 3, ii) a polyethylene copolymer selected from the group consisting of polyolefin plastomer, ethylene-vinyl acetate, ethylene acrylic acid, ethylene n-butyl acrylate, ethylene ethyl acrylate, ethylene 2-ethyl hexyl acrylate (EEHA) and ethylene-methacrylic acid (EMAA), wherein the ethylene monomer is higher than or equal to 75 wt% and iii) a mixture of i) and ii), and i) a very low-density polyethylene (VLDPE) and/or an ultra low-density polyethylene (ULDPE) and having a density value ≤ 0.912 g/cm 3, ii) a polyethylene copolymer selected from the group consisting of polyolefin plastomer, ethylene-vinyl acetate, ethylene acrylic acid, ethylene n-butyl acrylate, ethylene ethyl acrylate, ethylene 2-ethyl hexyl acrylate (EEHA) and ethylene-methacrylic acid (EMAA), wherein the ethylene monomer is higher than or equal to 75 wt% and iii) a mixture of i) and ii), and