Kovalevskaya published 10 works in mathematics. Two are identical except for the language, below numbered 5, 6.Two are considered to be of outstanding significance. Her work later known as Cauchy-Kovalevskaia Theorem and her paper for the Prix Bordin Competition on the rotation of a solid body about a fixed point. These items are marked with a "*". The following list of Kovalevskaya's mathematical works is from Stillman, A RUSSIAN CHILDHOOD, p.249 and was compiled by P. Kochina.)
* 1. "Zur Theorie der partiellen Differentialgleichungen." Journal fur die reine und angewandte Mathematik, 80 (1875), 1-32.
2. "Uber die Reduction einer bestimmten Klasse von Abel'scher Integrale 3-en Ranges auf elliptische Integrale." Acta Mathematica 4 (1884), 393-414.
3. "Zusatze und Bermerkungen zu Laplace's Untersuchung uber die Gestalt des Saturnringes." Astronomische Nachrichten 111 (1885), 37-48.
4. "Uber die Brechung des Lichtes in crystallinischen Mitteln." Acta Mathematica 6 (1885), 249-304.
5. "Sur la propagation de la lumiere dans un milieu cristallise." Comptes rendus Acad. Sc. 98 (1884), 356-357.
6. "Om ljusets fortplanting uti ett kristalliniskt medium." Of versigt af Kongl. Vetenskaps-Akademiens Forhandlinger 41 (1884), 119-121.
7. "Sur le probleme de la rotation d'un corps solide autour d'un point fixe." Acta Mathematica 12 (1889), H.2, 177-232.
8. "Sur une propriete du systeme d'equations differentielles qui definit la rotation d'un corps solide autour d'uin point fixe." Acta Mathematica 14 (1890), 81-93.
* 9. "Memoire sur un cas particulier du probleme de la rotation d'un corps pesant autour d'un point fixe, ou l'integration s'effectue a l'aide de fonctions ultraelliptiques du temps. Memoires presentes par divers savants a l'Academie des Sciences de l'Institut National de France, Paris, 31 (1890), 1-62.
10. "Sur un theoreme de M. Bruns." Acta Mathematica 15 (1891), 45-52, doi:10.1007/BF02392602 .