@Article{JPDE-15-68, author = {Yanyan Li and I. Oliker Vladimir }, title = {Starshaped Compact Hypersurfaces with Prescribed M-th Mean Curvature in Elliptic Space}, journal = {Journal of Partial Differential Equations}, year = {2002}, volume = {15}, number = {3}, pages = {68--80}, abstract = { We consider the problem of finding a compact starshaped hypresurface in a space form for which the normalized m-th elementary symmetric function of principal curvatures is a prescribed function. In this paper the conditions for the existence of at least one solution to a nonlinear second order elliptic equation of that problem are established in case of a space form with positive sectional curvature.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5456.html} }