@Article{JPDE-15-3, author = {}, 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/2002-JPDE-5456}, url = {https://global-sci.com/article/88623/starshaped-compact-hypersurfaces-with-prescribed-m-th-mean-curvature-in-elliptic-space} }