Applicator device (16; 50; 70; 80; 90; 100; 110) for applying a cosmetic product onto keratinous materials, in particular keratinous fibers such as eyelashes or eyebrows, comprising: - a rod, the rod having a first and a second end, the rod extending in a longitudinal direction (X 0) of the rod between the first and second ends (18a, 18b) of the rod, the rod being rigid, - a gripping member, the gripping member being located at the first end of the rod, - an applicator element near the second end of the rod, the applicator element defining a longitudinal direction (X 1) of the applicator element at rest, the applicator element having an application portion suitable for applying the cosmetic product, - a flexible, elastically deformable core, the core connecting the applicator element to the rod, wherein: - the core comprises a free portion extending freely between the rod and the application portion of the applicator element, the free portion of the core having a length of at least 2 mm, preferably at least 3 mm, more preferably at least 5 mm, the core allowing maximum bending of the applicator element relative to the rod such that a maximum bending angle (α) between the longitudinal direction (X 2) of the bent applicator element and the longitudinal direction (X 1) of the applicator element at rest is at least 1°, or even at least 2°, preferably at least 5°, more preferably at least 10°, the maximum bending angle (α) being preferably at most 30°, more preferably at most 20°, and - the rod has a housing extending in the longitudinal direction (X 0) of the rod between a bottom of the housing and an outlet of the housing at the second end of the rod, the application portion of the applicator element protruding from the housing, the core extending into the housing with transverse clearance, the maximum bending angle (α) between the longitudinal direction (X 2) of the bent applicator element and the longitudinal direction (X 1) of the applicator element at rest being defined by abutment of one of the applicator element and the core against a side wall of the housing. - a rod, the rod having a first and a second end, the rod extending in a longitudinal direction (X 0) of the rod between the first and second ends (18a, 18b) of the rod, the rod being rigid, - a gripping member, the gripping member being located at the first end of the rod, - an applicator element near the second end of the rod, the applicator element defining a longitudinal direction (X 1) of the applicator element at rest, the applicator element having an application portion suitable for applying the cosmetic product, - a flexible, elastically deformable core, the core connecting the applicator element to the rod, - the core comprises a free portion extending freely between the rod and the application portion of the applicator element, the free portion of the core having a length of at least 2 mm, preferably at least 3 mm, more preferably at least 5 mm, the core allowing maximum bending of the applicator element relative to the rod such that a maximum bending angle (α) between the longitudinal direction (X 2) of the bent applicator element and the longitudinal direction (X 1) of the applicator element at rest is at least 1°, or even at least 2°, preferably at least 5°, more preferably at least 10°, the maximum bending angle (α) being preferably at most 30°, more preferably at most 20°, and - the rod has a housing extending in the longitudinal direction (X 0) of the rod between a bottom of the housing and an outlet of the housing at the second end of the rod, the application portion of the applicator element protruding from the housing, the core extending into the housing with transverse clearance, the maximum bending angle (α) between the longitudinal direction (X 2) of the bent applicator element and the longitudinal direction (X 1) of the applicator element at rest being defined by abutment of one of the applicator element and the core against a side wall of the housing.