Boehme studied from 1884 to 1892 at the State Academy of Fine Arts in Karlsruhe with Gustav Schoenleber .
His first major study trips abroad led him to Norway (1888 Stavanger, 1890 Lofoten, 1891 Skomvær, 1899 Lofoten, 1907 Lofoten, 1925 Stavanger).
He had success with the coastal motifs that, during his partly extended stays in Italy, emerged. He was most famous for his Capri images (1893, 1894, 1898, 1902, 1904, 1912). He also traveled to Vulcano (1904), France ( Biarritz 1910 Gascony ) and England ( Lizard ), Malta (1914), Bornholm (1915, 1918), Rügen (1919, 1920) and Liguria (1924). He sought out rocky shore scenes to paint.
Starting in 1891 he participated in exhibitions in Munich, Vienna , Berlin, Salzburg and Buenos Aires. He has received numerous awards. In 1902 he received at the Great Berlin Art Exhibition a small gold medal. During the Great German Art Exhibition in Munich Haus der Kunst in 1937, he was represented by five works, including three from Capri.
His landscape paintings mostly show rocks rich sea-shore and there powerfully acting natural forces. They are often free of people, ships and other signs of civilization, with the water and clouds appearing in violent motion.