Kikori no Isekaitan: Tensei shita Shounen wa, Ono Ippon de Nariagaru

No cheats or special abilities!! A boy who reincarnated into another world aims to rise to the top with just effort and determination, starting with a single axe!! Reincarnated into another world, Kitori was a boy shunned in his hometown village as being possessed by a demon. With only an axe he received when leaving his hometown, he makes his way to Niergen, a shield city at the front line of adventurers' battles against monsters. Despite his lack of experience and skill, Kitori decides to live a harsh life as an adventurer to earn money for survival. While barely escaping death in battles with monsters, he is supported by his first companions and, through sheer effort and determination, charges forward to becoming the (physically) strongest adventurer!!

(Source: Hifumi Shobo, translated)